These worksheets will teach your students how to identify types of functions using associated graphs.

A function is a special type of relationship in math. It is a set of input that results on possible outputs. Functions describe a scenario where what you put in will result in what comes out of it. Functions help us make educated predictions. In many cases you will just chose random values for the inputs, but they will result in a solid graphical function. You will need to be able to recognize, create, and even draw functions on a graph.

How Do You Graph a Function? Functions are an important part of mathematics and it crucial to have a complete understanding. So, let us start with the basics, what are functions? To simply put it, a function is a way to relate an input and output. You can take a function as a machine in which you have an input and output. The classic way of writing a function is f(x). There are different ways of graphing a function. The first method is to assume linear functions as simple, easily graphed lines. Here f(x) can be represented by y. Now you can insert values into x and find out the corresponding values of y. This is the simplest way to graph a function. You can even graph functions like a linear equation using the slope as the co-efficient of x in a function is the slope of the line. The constant value is the y-intercept. These worksheets explains how to determine the type of function in a graph, and how to find the equation that describes a graph. Students will also learn how to convert given functions into a graphical representation using sine, cosine, tangent, etc.

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Print Graphing Functions Worksheets

Click the buttons to print each worksheet and associated answer key.

Lesson

This worksheet explains how to determine the type of function in a graph. A sample problem is solved, and two practice problems are provided.

Practice Worksheet

What type of function is graphed below? The first six of ten problems are provided.

Graphing Functions Worksheet Continued

We continue on with this skill from the previous worksheet. The last four of ten problems are provided.

Independent Practice

Students will determine the type of function in a graph. The first six of ten problems are provided.

Practice Continued

The continued version of the previous worksheet.

Review Sheet

See if you can figure out the type of function that is going on here from the graph that is provided. A sample problem is solved.

Graphing Functions the Skill

Students will determine the type of function from its graph. Six graphs are provided.

My Quiz

Students will demonstrate their proficiency in determining a type of function from its graph. The first six of ten problems are provided.

Quiz Continued

Students will demonstrate their proficiency in determining a type of function from its graph. The last four of ten problems are provided.

Section Check

Students will study each graph and determine the type of function it represents. Three problems are provided, and space is included for students to copy the correct answer when given.

Graphing Sine and Cosine Lesson

This worksheet explains how to graph a sine and cosine. A sample problem is solved, and two practice problems are provided.

Practice Worksheet

Students will determine the equations for graphs and graph sine and cosine. Ten problems are provided.

Sine and Cosine Practice

Given graphs, students will find the equations. Ten problems are provided.

Review and Practice

Students review how to graph problems that include sine and cosine. Six problems are provided.

Skill Quiz

Students will demonstrate their proficiency with the graphs of sine and cosine. Ten problems are provided.

Student Check

Students will find the equation for each graph. Three problems are provided, and space is included for students to copy the correct answer when given.

Sine and Cosine Graphs Lesson

This worksheet provides sine and cosine graphs. Four graphs are provided.

More Practice Worksheet

Students will graph sines and cosines. Six graphs are provided.

Practice

See how you navigate this worksheet that includes visuals of sine and cosine problems. Six graphs are provided.

My Review

See where you stand at with this skill. Six graphs are provided.

Graphs Quiz

Students will demonstrate their proficiency graphing sines and cosines. Six graphs are provided.

Practice Check

Students will draw three equations and make them vivid. Three problems are provided, and space is included for students to copy the correct answer when given.

Graphs Dealing with Tangent, Cotangent, Secant, and Cosecant Lesson

This worksheet explains how to determine the equation that describes a graph. A sample problem is solved, and two practice problems are provided.

Equation Worksheet

Students will determine the equation that describes a graph. Ten problems are provided.

Tangent, Cotangent, Secant, and Cosecant Practice

Given a graph, students will find the equation. Ten problems are provided.

Graphing Functions Review Worksheet

Students review how to determine the equation that describes a graph. A sample problem is solved.

Practice the Skill

Students are given six graphs. For each, they will find the equation that describes it.

Graphs Dealing with Functions Quiz

Students will demonstrate their proficiency in finding the equation that describes a graph. Ten problems are provided.

Graphs Dealing with Tangent, Cotangent, Secant, and Cosecant Check

Students will determine the equation that describes a graph. Three problems are provided, and space is included for students to copy the correct answer when given.