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.

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Function Worksheet Categories

Click any of the images or words below to print out the function sheets.


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.