function essay

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Unit 8: Functions

About this unit.

A function is like a machine that takes an input and gives an output. Let's explore how we can graph, analyze, and create different types of functions.

Evaluating functions

What is a function? (Opens a modal)
Worked example: Evaluating functions from equation (Opens a modal)
Worked example: Evaluating functions from graph (Opens a modal)
Evaluating discrete functions (Opens a modal)
Worked example: evaluating expressions with function notation (Opens a modal)
Evaluate functions Get 3 of 4 questions to level up!
Evaluate functions from their graph Get 3 of 4 questions to level up!
Evaluate function expressions Get 3 of 4 questions to level up!

Inputs and outputs of a function

Worked example: matching an input to a function's output (equation) (Opens a modal)
Worked example: matching an input to a function's output (graph) (Opens a modal)
Worked example: two inputs with the same output (graph) (Opens a modal)
Function inputs & outputs: equation Get 3 of 4 questions to level up!
Function inputs & outputs: graph Get 3 of 4 questions to level up!

Functions and equations

Equations vs. functions (Opens a modal)
Obtaining a function from an equation (Opens a modal)
Function rules from equations Get 3 of 4 questions to level up!

Interpreting function notation

Function notation word problem: bank (Opens a modal)
Function notation word problem: beach (Opens a modal)
Function notation word problems Get 3 of 4 questions to level up!

Introduction to the domain and range of a function

Intervals and interval notation (Opens a modal)
What is the domain of a function? (Opens a modal)
What is the range of a function? (Opens a modal)
Worked example: domain and range from graph (Opens a modal)
Domain and range from graph Get 5 of 7 questions to level up!

Determining the domain of a function

Determining whether values are in domain of function (Opens a modal)
Examples finding the domain of functions (Opens a modal)
Worked example: determining domain word problem (real numbers) (Opens a modal)
Worked example: determining domain word problem (positive integers) (Opens a modal)
Worked example: determining domain word problem (all integers) (Opens a modal)
Identifying values in the domain Get 3 of 4 questions to level up!
Determine the domain of functions Get 3 of 4 questions to level up!
Function domain word problems Get 3 of 4 questions to level up!

Recognizing functions

Recognizing functions from graph (Opens a modal)
Does a vertical line represent a function? (Opens a modal)
Recognizing functions from table (Opens a modal)
Recognizing functions from verbal description (Opens a modal)
Recognizing functions from verbal description word problem (Opens a modal)
Recognize functions from graphs Get 3 of 4 questions to level up!
Recognize functions from tables Get 3 of 4 questions to level up!

Maximum and minimum points

Introduction to minimum and maximum points (Opens a modal)
Worked example: absolute and relative extrema (Opens a modal)
Relative maxima and minima Get 3 of 4 questions to level up!
Absolute maxima and minima Get 3 of 4 questions to level up!

Intervals where a function is positive, negative, increasing, or decreasing

Increasing, decreasing, positive or negative intervals (Opens a modal)
Worked example: positive & negative intervals (Opens a modal)
Positive and negative intervals Get 3 of 4 questions to level up!
Increasing and decreasing intervals Get 3 of 4 questions to level up!

Interpreting features of graphs

Graph interpretation word problem: temperature (Opens a modal)
Graph interpretation word problem: basketball (Opens a modal)
Creativity break: How can people get creative in algebra (Opens a modal)
Graph interpretation word problems Get 3 of 4 questions to level up!

Average rate of change

Introduction to average rate of change (Opens a modal)
Worked example: average rate of change from graph (Opens a modal)
Worked example: average rate of change from table (Opens a modal)
Average rate of change: graphs & tables Get 3 of 4 questions to level up!

Average rate of change word problems

Average rate of change word problem: table (Opens a modal)
Average rate of change word problem: graph (Opens a modal)
Average rate of change review (Opens a modal)
Average rate of change word problems Get 3 of 4 questions to level up!

Intro to inverse functions

Intro to inverse functions (Opens a modal)
Inputs & outputs of inverse functions (Opens a modal)
Graphing the inverse of a linear function (Opens a modal)
Finding inverse functions: linear (Opens a modal)
Functions: FAQ (Opens a modal)
Evaluate inverse functions Get 3 of 4 questions to level up!
Finding inverses of linear functions Get 3 of 4 questions to level up!

Functions Essay

Differential Equation : Mathematical Function

Equation An ODE is an equation that contains ordinary derivatives of a mathematical function. Solutions to ODEs involve determining a function or functions that satisfy the given equation. This can entail performing an anti-derivative i.e. integrating the equation to find the function that best satisfies the differential equation. There are several techniques developed to solve ODEs so as to find the most satisfactory function. This discussion seeks to explore some of these techniques by providing worked

Personal Statement On The Function Of Leadership

receive direction to God’s next assignment. The only thing I knew was my instructions were to “go” and I would receive the details once I arrived. My reflection paper will hopefully articulate (1) my original or foundational understanding of the function of leadership in the context of my ministry setting and how it relates to a personal understanding of

Essay On Linear Function

the graph around. To get started, let'sconsider one of the simpler types of functions that you have graphed; namely, quadratic functions and their associated parabolas. If you have been doing your graphing by hand, you have probably started noticing some relationships betweenthe equations and the graphs. This is always true: To move a function up, you add outside the function: f b are f moved up b units. Moving the function down works the same way; f -b is f moved down b units. If you losetrack, think

A Note On Different Relation Of Function

Recursions with Folds Apart from using the recursion directly, fold is available to occur recursion scheme, which applies a function to data structure/Functor to manipulate its contents. Figure 1 The above illustrates the summary of different relation of function. Below we will focus on further explaining of how to isolate the recursions from the code in order to gain the benefit of convenience, which is easier to control, repair and further develop the code. In (inception) & Fix (fixpoint) The

What Is Function Point Analysis

What is Function Point Analysis Function point analysis is described by the IFPUG (International Function Point Users Group) as "A sizing measure of clear business significance, the FPA technique quantifies the functions contained within software in terms that are meaningful to the software users. " (IFPUG, About Function Point Analysis, 2014). Function point analysis is used to break systems into smaller parts so it is easier to analyse and understand. A function point is a unit of measure used

Calculus C Are Largely Defined By Derivatives Of Vector Valued And Parametrically Defined Function

explored in Calculus C are largely defined by derivatives of vector-valued and parametrically defined functions, integration by partial fractions, improper integrals, series convergence (Taylor and Maclaurin), L’Hopitals Rule, and numerous applications. All of the following topics require a solid foundation in not only Calculus A but also Calculus B. Vector-valued functions include mathematical functions of one or more variables whose range is defined as a set of both multidimensional vectors and infinite

The Mathematical Formulation Of An Objective Function

Task 1 The mathematical formulation Description: To establish the model, firstly we should decide the objective function. Analyzing the problem at hand, we are supposed to balance the goals of maximizing the delivery to tumor area and minimizing the delivery to the critical area. Since we have two objectives, we should choose one as objective function, and another to be satisfied by relative constraint. Considering the real life situation, the ultimate goal is improving the health of the patient

The Sexual Function Of Laboratory Animals

castration procedure, the males will lose sexual function. In this experiment there were seventeen male rats randomly distributed into three groups; sham group (N = 5), castrated and oil group (N = 4) and castrated and testosterone group (N = 7). The control group received a sham operation and bi-daily injections of oil to show that it was not a surgical procedure or bi-daily injections that caused the lowered production of testosterone. As expected sexual function was able to be restored in the castrated

Bilingual Advantages In Executive Function

Bilingual advantages in executive function In a study of bilingual adults, non-verbal executive functions were found to be a key mechanism system used to solve two or more linguistic conflicts caused by the process of manifesting language co-activation of bilingualism (Ellen Bialystok, 2015). Behavioral visual tracking, event-related potential and functional magnetic resonance imaging studies support the argument of co-language activation. The two implications are related to the viewpoint that

Exercise And Cognitive Function : Exercise

Exercise and Cognitive Function 1 Media Critique: Does Exercise Increase Cognitive Function? HPS 3790 Fitness Programs for Children, Adolescents, and Adults Matthew Trujillo 11/8/16 Most of the time when exercise is being performed, it is perceived that there is a need or want to become healthy, or stay healthy. When the word healthy comes to mind the first instinct is to think of the health of the body; to lose weight, tone the muscles, increase strength. Today there is a big focus

Functions: New Essays in the Philosophy of Psychology and Biology

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In explaining aspects of the natural world, including the aspects of mind, scientists have frequently used the concept of function. But what are functions? Here, 15 leading scholars of philosophy of psychology and philosophy of biology present new essays on functions.

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Functions Assignment

Question 1. A function assigns a unique output value to every input value. This definition implies that a vertical line cannot intersect a function in more than one place (Stewart). The set of input values is known as the domain of a function. The set of output values is known as the range of a function. An example of a linear function is, f left (x right ) = 4x+3 where 4 and 3 are the slope and vertical intercept of the straight line f(x). The domain of this linear function is all values x can take on, namely, all real numbers. The range is also all real numbers. A parabola is a good example of a quadratic function, f left (x right ) = {x} ^ {2} The vertex of the parabola coincides with the origin of a Cartesian coordinate system. The domain of this function is all real numbers and its range is all positive real numbers, f(x)≥0. An example of a third degree polynomial is, f left (x right ) = {x} ^ {3} +3 {x} ^ {2} +2x+1 The domain and range of this polynomial are all positive real numbers. The exponential function is defined as, f left (x right ) = {e} ^ {x} The domain of the exponential function is all real numbers and its range corresponds to all positive real numbers. The natural logarithm is a good example of a logarithmic function and is defined as, f left (x right ) = ln {x} The domain of the natural logarithm is all positive real numbers, x>0. The range is all real numbers. The trigonometric functions are good examples of periodic functions. For instance, the sine function, f left (x right ) = sin {x} It repeats every 2π radians. The domain of the sine function is all real numbers. The range is -1 ≤ f(x) ≤ 1. Question 2. The electrical activity of the human heart can be monitored by means of an Electrocardiogram (ECG). An example of ECG signal is shown in Figure 1. The signal was retrieved from National Instruments website (“National Instruments: Test, Measurement, and Embedded Systems”). The electrical heartbeats are represented by the voltage amplitude (dependent variable) over time (independent variable). The figure shows that heartbeats exhibit nearly periodic behavior. Strong beats repeat approximately every 1.6 seconds.

Question 3. The displacement of a piston in an internal combustion engine is represented by a periodic function, f left (t right ) = A sin {ωt} where ω is referred to as the angular frequency and has units of radians per second (rad/s). The independent variable is time t (s). A stands for the amplitude and describes the magnitude of the maximum displacement of the piston. The amplitude is a constant value. One cycle takes place when the crack (a linkage connecting the engine shaft and piston) turns through 2π radians. In other words, the sine function repeats itself when ωT=2π, where T is the period, so this time is defined as, T= {2π} over {ω} The frequency is the inverse of the period and it is measured in s-1 or hertz (hz) f= {1} over {T} For example, a period of 10s means a frequency of 1 every 10 seconds. The average value of function f(x) over an interval [a,b,] is defined as, F = {1} over {b-a} int from {a} to {b} {f(x)dx} The above expression can be used to calculate the average displacement over one cycle of the piston [0,T], F = {1} over {T} int from {0} to {T} {A sin {{2πt} over {T}} dt=} {1} over {T} {left [- {T} over {2π} cos {{2πt} over {T}} right ]} rsub {0} rsup {T} =- {1} over {2π} left [cos {2π} – cos {0} right ] =0 Question 4. The inverse of a function ( f -1) takes on a value from the range of f and assigns a single value from its domain. The inverse of a function exist only if a horizontal line does not intersect the function f in more than one place. This is not satisfied for the case of periodic functions like the sinusoidal displacement of a piston, y=f left (t right ) = A sin {ωt} The domain of sin ωt has to be restricted in order to define the inverse function. It can be worked out as follows, {sin} ^ {-1} {left ({y} over {A} right ) =ωt} {{f} ^ {-1} (y) = t = {1} over {ω} sin} ^ {-1} {left ({y} over {A} right )} The inverse function holds as long as, – {π} over {2} ≤ {y} over {A} ≤ {π} over {2} In a given cycle of the piston, the inverse function provides the time for which the piston is displaced y length units. Question 5. Part 1. The Richter scale is a scientific tool to measure the intensity of an earthquake (“Khan Academy | Khan Academy”). The following facts summarize the main features of the Richter scale: The Richter scale measures the earthquake magnitude. The intensity or amplitude of the ground motion is collected at the measuring stations. The maximum ground motion detected at a measuring station can be plotted against the distance to the epicenter. The Moment Magnitude Scale (MMS) was calibrated to the Richter scale. MMS is related to the energy released by earthquakes. Unfortunately, strong and weak earthquakes do not fit on the same plot if a linear scale is used. The Richter scale employs a logarithmic scale in order to present the data on the same chart. The Richter scale can be used to compare the magnitude of two earthquakes. For instance, the 5.8 earthquake that took place on the east coast of US in 2011and the 9.0 earthquake off the coast of Japan in the same year. Both magnitudes are reported on a logarithmic scale so the difference between these two earthquakes is not 3.2 but 103.2 (3.2 powers of 10). It means the earthquake in Japan was about 1600 times stronger than the east coast earthquake. Part 2. Table 1 summarizes the facts about the earthquakes chosen to draw a comparison.

Table 1. Earthquake information.

Part 3. Quantitative comparison of the two earthquakes. The equation for Richter magnitude can be written as, M = {log} rsub {10} {A} where A is the amplitude in millimeters directly measured from a seismograph. The equation may also include a distance correction factor originally used by Richter. It is omitted for the sake of clarity. The Richter magnitude of Pakistan’s 2013 earthquake can be related to its amplitude by, 7.7 = {log} rsub {10} {{A} rsub {Pakistan}} The equation above can be written as an exponential equation, that is, the amplitude read in the seismograph, {A} rsub {Pakista n} = {10} ^ {7.7} Similarly, the magnitude of Chile’s 2010 earthquake can be mathematically written as, 8.8 = {log} rsub {10} {{A} rsub {Chile}} It can also be recast as an exponential equation, {A} rsub {Chile} = {10} ^ {8.8} The ratio of exponential expressions can be used to compare the intensities of earthquakes, {{A} rsub {Chile}} over {{A} rsub {Pakistan}} = {{10} ^ {8.8}} over {{10} ^ {7.7}} =12.6 It can be concluded that Chile’s earthquake was 12.6 times as intense as the recently ground motion in Pakistan. Task 1. The exponential function ex can be written as an infinite Taylor series about x=0. The Taylor series is, {e} ^ {x} =1+x+ {{x} ^ {2}} over {2!} + {{x} ^ {3}} over {3!} + {{x} ^ {4}} over {4!} +… {{x} ^ {n}} over {n!} +… It can be used to approximate the value of e1 up to n= 10. The results are shown in Table 2. The approximation value for e1 up to 10 decimal places is obtained when n = 15, e = 2.7182818285

Table 2. Approximation value for e.

Works Cited

“Khan Academy | Khan Academy.” N. p., n.d. Web. 4 Dec. 2013. “National Instruments: Test, Measurement, and Embedded Systems.” N. p., n.d. Web. 3 Dec. 2013. Stewart, J. Calculus. Brooks/Cole, 2009.

Test Score Gap in Math

Stage 1: Introduction: Issue The gap between black and white test score is a robust empirical regularity (Fryer & Levitt, 2004). This gap remains almost constant even afte re, especially in math is of great importance. This will lead towards formulation of strategies and measures, which are aimed at ensuring that the gap decreases and African…

Mathematics Statistics, Problem Solving

1. The Length of a certain species of fish has a normal distribution with mean 50 mm and standard deviation 4.5 mm. A random sample of four fish is drawn and their length X1, X2, X3, and X4, are observed. Calculate the probability that. (3 pts) All four fish have lengths between 51 and 60…

Multiple Choice Questions Sample

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What is an Essay?

10 May, 2020

11 minutes read

Author: Tomas White

Well, beyond a jumble of words usually around 2,000 words or so - what is an essay, exactly? Whether you’re taking English, sociology, history, biology, art, or a speech class, it’s likely you’ll have to write an essay or two. So how is an essay different than a research paper or a review? Let’s find out!

Defining the Term – What is an Essay?

The essay is a written piece that is designed to present an idea, propose an argument, express the emotion or initiate debate. It is a tool that is used to present writer’s ideas in a non-fictional way. Multiple applications of this type of writing go way beyond, providing political manifestos and art criticism as well as personal observations and reflections of the author.

An essay can be as short as 500 words, it can also be 5000 words or more. However, most essays fall somewhere around 1000 to 3000 words ; this word range provides the writer enough space to thoroughly develop an argument and work to convince the reader of the author’s perspective regarding a particular issue. The topics of essays are boundless: they can range from the best form of government to the benefits of eating peppermint leaves daily. As a professional provider of custom writing, our service has helped thousands of customers to turn in essays in various forms and disciplines.

Origins of the Essay

Over the course of more than six centuries essays were used to question assumptions, argue trivial opinions and to initiate global discussions. Let’s have a closer look into historical progress and various applications of this literary phenomenon to find out exactly what it is.

Today’s modern word “essay” can trace its roots back to the French “essayer” which translates closely to mean “to attempt” . This is an apt name for this writing form because the essay’s ultimate purpose is to attempt to convince the audience of something. An essay’s topic can range broadly and include everything from the best of Shakespeare’s plays to the joys of April.

The essay comes in many shapes and sizes; it can focus on a personal experience or a purely academic exploration of a topic. Essays are classified as a subjective writing form because while they include expository elements, they can rely on personal narratives to support the writer’s viewpoint. The essay genre includes a diverse array of academic writings ranging from literary criticism to meditations on the natural world. Most typically, the essay exists as a shorter writing form; essays are rarely the length of a novel. However, several historic examples, such as John Locke’s seminal work “An Essay Concerning Human Understanding” just shows that a well-organized essay can be as long as a novel.

The Essay in Literature

The essay enjoys a long and renowned history in literature. They first began gaining in popularity in the early 16 th century, and their popularity has continued today both with original writers and ghost writers. Many readers prefer this short form in which the writer seems to speak directly to the reader, presenting a particular claim and working to defend it through a variety of means. Not sure if you’ve ever read a great essay? You wouldn’t believe how many pieces of literature are actually nothing less than essays, or evolved into more complex structures from the essay. Check out this list of literary favorites:

The Book of My Lives by Aleksandar Hemon
Notes of a Native Son by James Baldwin
Against Interpretation by Susan Sontag
High-Tide in Tucson: Essays from Now and Never by Barbara Kingsolver
Slouching Toward Bethlehem by Joan Didion
Naked by David Sedaris
Walden; or, Life in the Woods by Henry David Thoreau

Pretty much as long as writers have had something to say, they’ve created essays to communicate their viewpoint on pretty much any topic you can think of!

The Essay in Academics

Not only are students required to read a variety of essays during their academic education, but they will likely be required to write several different kinds of essays throughout their scholastic career. Don’t love to write? Then consider working with a ghost essay writer ! While all essays require an introduction, body paragraphs in support of the argumentative thesis statement, and a conclusion, academic essays can take several different formats in the way they approach a topic. Common essays required in high school, college, and post-graduate classes include:

Five paragraph essay

This is the most common type of a formal essay. The type of paper that students are usually exposed to when they first hear about the concept of the essay itself. It follows easy outline structure – an opening introduction paragraph; three body paragraphs to expand the thesis; and conclusion to sum it up.

Argumentative essay

These essays are commonly assigned to explore a controversial issue. The goal is to identify the major positions on either side and work to support the side the writer agrees with while refuting the opposing side’s potential arguments.

Compare and Contrast essay

This essay compares two items, such as two poems, and works to identify similarities and differences, discussing the strength and weaknesses of each. This essay can focus on more than just two items, however. The point of this essay is to reveal new connections the reader may not have considered previously.

Definition essay

This essay has a sole purpose – defining a term or a concept in as much detail as possible. Sounds pretty simple, right? Well, not quite. The most important part of the process is picking up the word. Before zooming it up under the microscope, make sure to choose something roomy so you can define it under multiple angles. The definition essay outline will reflect those angles and scopes.

Descriptive essay

Perhaps the most fun to write, this essay focuses on describing its subject using all five of the senses. The writer aims to fully describe the topic; for example, a descriptive essay could aim to describe the ocean to someone who’s never seen it or the job of a teacher. Descriptive essays rely heavily on detail and the paragraphs can be organized by sense.

Illustration essay

The purpose of this essay is to describe an idea, occasion or a concept with the help of clear and vocal examples. “Illustration” itself is handled in the body paragraphs section. Each of the statements, presented in the essay needs to be supported with several examples. Illustration essay helps the author to connect with his audience by breaking the barriers with real-life examples – clear and indisputable.

Informative Essay

Being one the basic essay types, the informative essay is as easy as it sounds from a technical standpoint. High school is where students usually encounter with informative essay first time. The purpose of this paper is to describe an idea, concept or any other abstract subject with the help of proper research and a generous amount of storytelling.

Narrative essay

This type of essay focuses on describing a certain event or experience, most often chronologically. It could be a historic event or an ordinary day or month in a regular person’s life. Narrative essay proclaims a free approach to writing it, therefore it does not always require conventional attributes, like the outline. The narrative itself typically unfolds through a personal lens, and is thus considered to be a subjective form of writing.

Persuasive essay

The purpose of the persuasive essay is to provide the audience with a 360-view on the concept idea or certain topic – to persuade the reader to adopt a certain viewpoint. The viewpoints can range widely from why visiting the dentist is important to why dogs make the best pets to why blue is the best color. Strong, persuasive language is a defining characteristic of this essay type.

The Essay in Art

Several other artistic mediums have adopted the essay as a means of communicating with their audience. In the visual arts, such as painting or sculpting, the rough sketches of the final product are sometimes deemed essays. Likewise, directors may opt to create a film essay which is similar to a documentary in that it offers a personal reflection on a relevant issue. Finally, photographers often create photographic essays in which they use a series of photographs to tell a story, similar to a narrative or a descriptive essay.

Drawing the line – question answered

“What is an Essay?” is quite a polarizing question. On one hand, it can easily be answered in a couple of words. On the other, it is surely the most profound and self-established type of content there ever was. Going back through the history of the last five-six centuries helps us understand where did it come from and how it is being applied ever since.

If you must write an essay, follow these five important steps to works towards earning the “A” you want:

Understand and review the kind of essay you must write
Brainstorm your argument
Find research from reliable sources to support your perspective
Cite all sources parenthetically within the paper and on the Works Cited page
Follow all grammatical rules

Generally speaking, when you must write any type of essay, start sooner rather than later! Don’t procrastinate – give yourself time to develop your perspective and work on crafting a unique and original approach to the topic. Remember: it’s always a good idea to have another set of eyes (or three) look over your essay before handing in the final draft to your teacher or professor. Don’t trust your fellow classmates? Consider hiring an editor or a ghostwriter to help out!

If you are still unsure on whether you can cope with your task – you are in the right place to get help. HandMadeWriting is the perfect answer to the question “Who can write my essay?”

A life lesson in Romeo and Juliet taught by death

Due to human nature, we draw conclusions only when life gives us a lesson since the experience of others is not so effective and powerful. Therefore, when analyzing and sorting out common problems we face, we may trace a parallel with well-known book characters or real historical figures. Moreover, we often compare our situations with […]

Ethical Research Paper Topics

Writing a research paper on ethics is not an easy task, especially if you do not possess excellent writing skills and do not like to contemplate controversial questions. But an ethics course is obligatory in all higher education institutions, and students have to look for a way out and be creative. When you find an […]

Art Research Paper Topics

Students obtaining degrees in fine art and art & design programs most commonly need to write a paper on art topics. However, this subject is becoming more popular in educational institutions for expanding students’ horizons. Thus, both groups of receivers of education: those who are into arts and those who only get acquainted with art […]

Four Functions of Management

Introduction, controlling.

Every organization, in spite of its enormity, has fully developed and implemented management concepts that enable smooth running of activities aimed at realising the projected vision, goals and objectives.

The functions of management break down into four areas that take care of strategic, tactical and operational pronouncements of an organization. Thus, management in an organization is a creative tool of solving problems through planning, organizing, leading and controlling. In essence, the functions of management solve a particular problem facing an organization.

Consequently, the results will provide an avenue of accomplishing the goals, objectives and mission of the organization. The functions of management in an organization is to provide a framework of focussing both short and long term views hence, foster it towards success.

Additionally, management as a decision-making process entails a premeditated vision, fixed goals, a crafted plan, all which if executed and implemented properly, will see an organization achieve its mission.

From in-house operations to industry, the functions of management serve to address issues affecting a certain organization for example, effective utilization of resources, appraisal of core competencies, evaluation of the present and prospect participants, and strategic control among others (Himanshu, 2009, p.1).

Nevertheless, the four function of management cannot bring success into an organization minus sound leadership from the mangers. In most cases, the manager’s style of leadership affects the operation of an organization, positively or negatively. Thus, good managers should exhibit certain traits and skills, which will enable an organization, achieve its mission, goals and objectives.

For example, an organization with highly skilled workers makes managers to be allowing, while an organization with less skilled workforce mandates the manager to take a closer look on production.

Thus, god managers are the ones who flex their style, train and inspire employees to work towards the realization of vision, goals and objectives. The paper will examine the four functions of management namely: planning, organizing, directing and controlling within an organization (Haridimos, 2004, pp. 289-301).

This is the first contrivance of the four function of an organization’s management process. Primarily, the success of an organization depends on the planning procedure. The planning procedure is the one that determines whether a manager is successful or not. Planning provides logical understanding on how to make decisions, which will drive an organization towards the path of attaining its objectives.

Good managers use a planning process to plan for expectations, and as a blueprint to predict quandaries, which might hinder an organization form achieving its objectives.

In addition, the planning process provides measures for prevaricating intricate issues and a framework of beating competition. Thus, planning is an essential tool of management in that it facilitates control, which is a valuable strategy in decision-making hence averting business ravage.

A good planned business example is GlaxoSmithKline. This is an international pharmaceutical company with a vision of providing superior healthcare services. Both the mangers and employees of this company commit themselves to excellence in line with its mission and vision statement.

The planning process of GlaxoSmithKline entails how to attain quality results, respecting others, and teamwork in order to achieve goals. Since the commencement of this plan, GlaxoSmithKline has grown into an international pharmaceutical company with branches all over the world and a healthcare leader (Bateman &Snell, 2007, p. 16).

Organizing helps managers to attain all objectives as delineated in the planning procedure. Primarily, organisation involves appointing of individuals to perform certain assignments, which are paramount in developing a uniform rationale of accomplishing goals.

Thus, this calls upon the manger to exercise personal traits and skills in order to choose competent subordinates who are capable of organising the valuable resources of the organisation to produce results.

A good organisation is the one characterised by management staffing, several trainings among employees, inflow of resources and a prolific workforce. Managers also ought to discuss the developed plans with the subordinates, and break the assignments into smaller segments manageable by one person. In so going, the organisation will have well-structured and manageable units working towards achieving objectives.

For example, the organisation of Microsoft presents one of the best business examples. Characterised by flexibility, changeability and new products, Microsoft has achieved its goals and objectives through its planning process and organisation. Moreover, the managers of Microsoft offers direction for staff that is paramount to personal success hence, organizational success.

Based on experience and personal traits, the managers use communication as a tool of solving any arising issues. In fact, Microsoft would not be a world leader in IT had it not been its exceptional organisation (Bretti, 2009, pp. 15-18).

The third function of management is direction or leading. This aspect of management helps managers to supervise the actions of the workforce and set the path of achieving goals and objectives of the company. Leading also promotes incentive, good communication, leadership and unit dynamics necessary in attaining goals and objectives.

Many people understand the role of leadership to an organisation as it is the one, which inspires actions in the direction of goals and objectives. Thus, good mangers are those who motivate employees to an eminent aspiration and assign them responsibilities as stated in the planning process. In addition, managers must also maintain a close contact with the employees in order to realise the vision, goals and objectives of the company.

For instance, managers at GlaxoSmithKline motivate employees to work towards achieving the goals and objectives of the corporation and surpass their market competitors. The managers have a daily contact with the staff either individually or as a team.

Thus, the management team plays an important role in the management process by unearthing innovative mechanisms, which solve problems that might hinder the process of achieving goals (Gomez, Luis, Balkin, & Robert, 2008, pp. 18-21).

The final stage of a management process is controlling, which involves the implementation of the developed plan. This process involves the establishment of recital standards pedestal to the company’s vision, goals and objectives. In addition, it engrosses evaluating and reporting of all actions within the company and gauging whether they lime with the goals and objectives.

A good control process within a management system is the one that eases the delegation of duties and holds each skilled worker responsible. For example, in GlaxoSmithKline, managers hold departmental meetings on a daily basis. Thus, they are in apposition to review the daily schedule, evaluate any emanating problem, and solve it before it becomes too late.

In GlaxoSmithKline, control sets the standards for performance of the workforce thus, mandating workers to work towards goals and objectives.

It also ensures that workers take and complete assignments within a given duration while following the laid guidelines. Otherwise, workers are liable for disciplinary measures should they fail to comply. In most cases, managers employ work performance evaluations as a form of control aimed at attaining the set goals (Blue, 2007, 135-136).

For any business to achieve its vision, goals and objectives, planning, organizing, leading and controlling are necessary. These four functions of management provide a framework of achieving the company’s objectives. Nevertheless, without guidance from the management team and individual contribution from employees, success is cannot be a reality.

Bateman, T. & Snell, S., 2007. Management: Leading and collaborating in a Competitive World. (7th ed.). New York: McGraw – Hill.

Blue, R., 2007. Functions of management. Journal of the American Society for Information Science, 40(2), 135-136.

Bretti, A., 2009. Four Functions of management, Journal of Physical Distribution & Logistics, 1(1), 15-18.

Gomez, M., Luis, R., Balkin, B. & Robert L., 2008. Management: People, Performance, Change . (3rd ed.). New York: McGraw-Hill.

Haridimos, T., 2004. What is Management? An Outline of a Metatheory. British Journal of Management, 5(9), 289-301.

Himanshu, J. 2009. Functions of Management Web.

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1. This notation means that the limit of a function f(x) as x tends to a is equal to L. In this case, L is a number. a is a number. x is the function. No we cannot conclude anything about f (a). 2.

The three conditions associated with non-existence of a limit are

Solutions essay example.

R { 1,2,3,4 } Z { 5,6,7,8 } F is a subset of RZ Where each element X ∈ R and each element Y ∈ Z (x, y) ∈ F

F subset { y ∈ Z| ( x, y) ∈ F for some x ∈ R}

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On the graph point 2.65 is (2.65, 4)

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Police Subculture Analysis

This essay about police subculture explores the norms, values, and behaviors that characterize the internal social and professional dynamics of police officers. It discusses how the unique demands of law enforcement work contribute to a distinct subculture, exemplified by solidarity among officers and coping mechanisms like gallows humor. The essay highlights the “blue wall of silence” as a key aspect, promoting loyalty but complicating accountability and transparency. It also examines the potential negative impacts of an “us versus them” mentality on community-police relations. The piece suggests that reforming police subculture through training in ethics, mental health, and community engagement, as well as strong leadership, can help align police practices with community needs and enhance public trust.

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The notion of law enforcement subculture, frequently delineated by distinctive arrays of standards, principles, and conducts shared amidst constabulary personnel, assumes a pivotal function in molding their identities and engagements within the societal milieu. This subculture serves as a foundational element not only in comprehending how constables construe their obligations and duties but also in critically evaluating the broader ramifications for law enforcement methodologies and public interactions.

The genesis of law enforcement subculture primarily stems from the unique essence of policing work.

Daily exposure to jeopardy and the imperative to exert authority may engender a sense of unity among constables. This “azure bulwark of reticence,” a renowned facet of law enforcement subculture, underscores an allegiance to fellow officers and a collective discretion, often engendering a disinclination to critique or unveil misconduct amidst peers. Although this can fortify bonds among constables, it also poses substantial quandaries for accountability and transparency.

Another salient facet of law enforcement subculture is the evolution of coping mechanisms against the rigors of policing. Constables routinely confront exigent circumstances involving peril, violence, and human adversity. To navigate these high-stress scenarios, a distinct form of gallows humor has ingrained itself into the subculture. This brand of humor, which may appear somber or unsympathetic to outsiders, serves as a psychological bulwark for constables, assisting them in preserving their equanimity in the face of adversities.

However, the insulated character of law enforcement subculture may occasionally precipitate an “us versus them” mindset, wherein constables regard the populace—particularly individuals from specific communities—with skepticism or antipathy. This outlook can exacerbate tensions between law enforcement and community members, eroding public faith and collaboration. Endeavors to bridge this chasm often pivot on community policing strategies that accentuate involvement, empathy, and reciprocal respect. By fostering constructive exchanges and transparency, law enforcement agencies endeavor to harmonize community requisites with policing strategies, thereby gradually transmuting facets of the traditional constabulary subculture.

The reformation of law enforcement subculture entails recognizing and rectifying its more contentious aspects. Training initiatives that underscore ethical comportment, mental well-being awareness, and community relations can refashion law enforcement subculture into one that buttresses both constable welfare and public confidence. Moreover, leadership within law enforcement departments assumes a pivotal role. Administrators who epitomize transparency, accountability, and engagement can propel cultural metamorphosis, motivating constables to embrace new paradigms that prioritize efficacious, community-centric policing.

In summation, law enforcement subculture constitutes a multifaceted and dynamic entity shaped by the unique demands and encounters of policing. While it fosters camaraderie and adaptive mechanisms among constables, it also poses significant challenges that can impact public interactions and operational efficacy. Confronting these hurdles through proactive community engagement and internal reform is imperative for nurturing a law enforcement culture that garners trust and support from both constables and citizens.

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Functions
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Essay On Linear Function. the graph around. To get started, let'sconsider one of the simpler types of functions that you have graphed; namely, quadratic functions and their associated parabolas. If you have been doing your graphing by hand, you have probably started noticing some relationships betweenthe equations and the graphs.
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The structure of an essay is divided into an introduction that presents your topic and thesis statement, a body containing your in-depth analysis and arguments, and a conclusion wrapping up your ideas. The structure of the body is flexible, but you should always spend some time thinking about how you can organize your essay to best serve your ...
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An essay is a focused piece of writing designed to inform or persuade. There are many different types of essay, but they are often defined in four categories: argumentative, expository, narrative, and descriptive essays. Argumentative and expository essays are focused on conveying information and making clear points, while narrative and ...
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The basic structure of an essay always consists of an introduction, a body, and a conclusion. But for many students, the most difficult part of structuring an essay is deciding how to organize information within the body. This article provides useful templates and tips to help you outline your essay, make decisions about your structure, and ...
Functions: New Essays in the Philosophy of Psychology and Biology
In explaining aspects of the natural world, including the aspects of mind, scientists have frequently used the concept of function. But what are functions? Here, 15 leading scholars of philosophy of psychology and philosophy of biology present new essays on functions.
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The set of output values is known as the range of a function. An example of a linear function is, f left (x right ) = 4x+3. where 4 and 3 are the slope and vertical intercept of the straight line f (x). The domain of this linear function is all values x can take on, namely, all real numbers. The range is also all real numbers.
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The essay is a written piece that is designed to present an idea, propose an argument, express the emotion or initiate debate. It is a tool that is used to present writer's ideas in a non-fictional way. Multiple applications of this type of writing go way beyond, providing political manifestos and art criticism as well as personal ...
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Introduction. Businesses usually carry out various activities in pursuit of their organizational objectives. These objectives differ from organization to organization depending on the nature of their business. However, there are those functions that are common in almost all organizations such as planning, budgeting, strategizing and performance ...
Four Functions of Management Essay
Thus, god managers are the ones who flex their style, train and inspire employees to work towards the realization of vision, goals and objectives. The paper will examine the four functions of management namely: planning, organizing, directing and controlling within an organization (Haridimos, 2004, pp. 289-301).
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Step 1: Return to your thesis. To begin your conclusion, signal that the essay is coming to an end by returning to your overall argument. Don't just repeat your thesis statement —instead, try to rephrase your argument in a way that shows how it has been developed since the introduction. Example: Returning to the thesis.
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Essay Example: The notion of law enforcement subculture, frequently delineated by distinctive arrays of standards, principles, and conducts shared amidst constabulary personnel, assumes a pivotal function in molding their identities and engagements within the societal milieu. This subculture
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The structure of your expository essay will vary according to the scope of your assignment and the demands of your topic. It's worthwhile to plan out your structure before you start, using an essay outline. A common structure for a short expository essay consists of five paragraphs: An introduction, three body paragraphs, and a conclusion.
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Critical Perturbations for Second Order Elliptic Operators—Part II: Non
This is the final part of a series of papers where we study perturbations of divergence form second order elliptic operators -divA ∇ by first and zero order terms, whose complex coefficients lie in critical spaces, via the method of layer potentials. In particular, we show that the L 2 well-posedness (with natural non-tangential maximal function estimates) of the Dirichlet, Neumann and ...

Unit 8: Functions

Evaluating functions

Inputs and outputs of a function

Functions and equations

Interpreting function notation

Introduction to the domain and range of a function

Determining the domain of a function

Recognizing functions

Maximum and minimum points

Intervals where a function is positive, negative, increasing, or decreasing

Interpreting features of graphs

Average rate of change

Average rate of change word problems

Intro to inverse functions

Functions Essay

Differential Equation : Mathematical Function

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A Note On Different Relation Of Function

What Is Function Point Analysis

Calculus C Are Largely Defined By Derivatives Of Vector Valued And Parametrically Defined Function

The Mathematical Formulation Of An Objective Function

The Sexual Function Of Laboratory Animals

Bilingual Advantages In Executive Function

Exercise And Cognitive Function : Exercise

Popular Topics

Functions: New Essays in the Philosophy of Psychology and Biology

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Functions Assignment

Works Cited

Test Score Gap in Math

Mathematics Statistics, Problem Solving

Multiple Choice Questions Sample

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Informative Essay

Narrative essay

Persuasive essay

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The three conditions associated with non-existence of a limit are

F subset { y ∈ Z| ( x, y) ∈ F for some x ∈ R}

On the graph point 2.65 is (2.65, 4)

R ( 2.65, 4 )

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The business administrator

Money and its Functions

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Simple cuboidal epithelium of the kidney the