In this section of our site you will find worksheets that involve the use of functions.

#### Functions are a relationship based system where you have a set of inputs and outputs that are the result of those inputs. Change your inputs and your outputs are affected as well. In math we use functions to model of form of relationship between two distant sets of elements. You can basically think of a function as a predetermined rule to how a variable fits in a set to direct an outcome. Functions can be stated in a wide range of ways including the use of tables, equations and words. A function is a solid means to model any mathematically environment we come across. Functions are at the root of polynomial equations, in that they represent the relationship between inputs (also called "arguments") and outputs, with the understanding that each single input must relate to only one output. Some functions are defined as a formula or algorithm, while others are represented by graphs or tables. However they are represented, every function describes how an input is to be manipulated within or by the function. For example, the function of squaring means that for every input x, the output will be x squared.

The following collection of activity sheets will introduce your students to mathematical functions. This series looks at all aspect of the use of functions. We will examine the cofunction of their use and how to write one. We will explore how to post an evolution to their nature and how to exponential change their overall outcome. The lessons will also introduce students to graphing functions and interpreting the nature of those graphs. We will also learn how to use a graph to predict future outcomes.

# Function Worksheet Categories

## Cofunctions

We look at trigonometric functions that are complements to one another.

## Composite Functions

These depend entirely of the composition of another function. This occur when one is substituted for another.

## Composition of Functions

This is where a function becomes the input for another.

## Definition of a Function

We at the most rudimentary form of them and learn that they each have a special relationship.

## Domain and One-to-One, Onto

The best way to look at this is that if you have a known y value, there is only one matching x value.

## Exponential Functions

Exponents show up in this world and really throw us for a curve, at least our graphs.

## Functions in Coordinate Grids

We learn how to plot them and interpret the output. This is where we start to learn to make accurate predictions.

## Graphic Quadratic Functions

These guys always become curves, but the point behind these exercises is to determine where they lie on a graph.

## Graphing Functions

The best way is to pick a good group of random x values, plug them in and determine the output.

## Inverse Functions

We often lose sight of the overall goal of these. They can tell us the exact value of x that is needed to get the y value.

## Logarithmic Functions

These are the inverse of the exponential form. You can easily convert between these formats.

## Recognize and Evaluate Functions

We substitute the inputs as variables in the expression and solve from there.

## Relations as Functions

We show you the specific differences between each of these and their similarities too.

## Solving Quadratic Functions Graphically

We show you how to use the quadratic formula to complete the square and factor from there.

## Transformations with Functions

This results in the graph bouncing around and is often used in real life to scale things.

## Trigonometric Functions

This is how we relate angles within triangles to sides of triangles.

## What Are Functions in Math?

A function is a mathematical relationship where everything input has a single output. This is often written as f of x expressed as f(x). There are three main parts that can be found in a function including the input, output, and relationship. The variable x is the input value. A function just relates this input to the output. The output value entirely depends on the input value and the relationship. How are math functions used in the real world?

Capacity is just a "machine" that creates some yield in relation to the given information. In this way, on the off chance that f(x) = 2x + 1, at that point, f(3) = 7.

Understanding this conduct is fundamental to perceiving the assortment of input\output relationships in reality. Once more, every one of them a capacity does is give a scientific method to demonstrate or speak to a circumstance where specific information will give a specific yield.

Here are a couple of models:

The perimeter of a Circle - A circle's boundary is a component of its width. I may speak to this as C(d) = dπ. On the other hand, C(r) = 2π × r.

A Shadow - The length of an individual's shadow along the floor is an element of their stature.

Driving a Car - When driving a vehicle, your area is an element of time. Quantum Physics, in any case, you can't be in two places on the double. In this way, the vehicle's position is a component of time.

Temperature - Based on an assortment of sources of info, or components, we get a specific temperature. Along these lines, the temperature is an element of different factors. (By factors, I mean various factors in the earth.)

Cash - The measure of cash you have is a component of the time spent winning it.