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Math Worksheets For All Ages

Math Worksheets Land

Math Worksheets For All Ages

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High School Functions Worksheets

Why do We Study Math Functions? - We know what the term "function" generally means. But in math, a function is a relation in which no input relates to more than one output. This means that a function is a relation with one output for each input. These functions are the bases of all mathematical operations. With functions, we learn how to solve various algebraic equations and it is the base platform for calculus. You will learn how to place them on the graph and solve equations through them. Functions teach us a lot of techniques to solve problems, alongside developing the skills to make sense of various problems and helping us to find the relevant, appropriate method in solving them. Functions also help in constructing viable arguments to support your answers. They also help in increasing concentration and help you in learning how to structure the questions that need to be solved. Functions are a very elusive concept for many students. They help us understand the world around us and are essential in the business world. Have you ever thought of buying a car or calculated how long it will take you to get to a location (while accounting for other variables); then you have come across functions before.

Interpreting Functions


Building Functions


Linear, Quadratic, & Exponential Models


Trigonometric Functions



What is the Importance of Understanding Functions?

In real life we often talk or define relationships between people. For example, there may be a boy in the street that you waive to and a friend may ask you how you know him. That boy could be a friend, a cousin, a brother, a teammate, and maybe you were just being courteous to a stranger. When you define that relationship to your friend, you have basically stated how important that person is to you. In a way you have defined an unspoken value for that person in relation to you. Functions are mathematical methods of describing relationships between values and salient variables. These relationships often require complex computations. This is why you often will not start to explore the higher performing functions until you enter undergraduate school. Students that master the ability to not only interpret well stated functions but write and create their own possess a skill that will be in high demand in the corporate world. This is because if you master this skill, you will quickly be able to judge the significance of trends and spot outliers within the data. People that understand the essence of the nature of a function can often make exactly accurate predictions of how data flows through it. This allows them to make solid decisions based on what the data shows them. Functions find themselves used for all types of modeling whether it financial, an engineering application, or trajectory of a space shuttle as it approaches Mars. The people that can understand and create these models with often secure top level employment quickly.



How Are Math Functions Used in Real World?

Buildings in a City

The funny thing is that there are almost too many applications of functions in the real world to list or at least do justice for. Every time you make a move, at all, that can be broken down mathematically that results in some kind of outcome (output) you have taken part in a mathematical function. Let me just recount how many functions I came across just last night:


1. I put 75 cents in coins into a vending machine and then chose the letters that indicated a fruit roll. The machine in turn moved a coil that the fruit roll was on, and the fruit roll popped out.


2. I received my paycheck which I am paid hourly for. Depending on the number of hours that I work, I receive a different amount each time.


3. I took an Uber home. The cost of that ride is based on the distance covered and amount of time involved.


4. I used my television remote control to tune in the basketball game. Do you see where I’m going with this?

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