Login

Ch 30: 6th-8th Grade Math: Properties of Functions

About This Chapter

In part, this Properties of Functions chapter explains the use of function notation and transformations. Use the chapter's informative online video lessons to help your 6th - 8th grade students understand how to solve inverse functions and apply function operations. The chapter examination will measure your students' progress.

6th-8th Grade Math: Properties of Functions - Chapter Summary

Covering function basics, the online video lessons in the Properties of Functions chapter include the rules for composing functions along with techniques for adding, subtracting, multiplying and dividing functions. Teach your 6th - 8th grade students how to calculate domain and range, and how to find and check inverse functions. When your class has watched all of the video lessons, you can administer the chapter examination.

Chapter Lessons and Objectives

Lesson Objective
What is a Function: Basics and Key Terms Students learn basic terminology as well as how to determine the variables in a function.
Transformations: How to Shift Graphs on a Plane This lesson defines transformations and teaches students about the various types.
How to Add, Subtract, Multiply and Divide Functions The rules for adding, subtracting, multiplying and dividing functions are explained in this lesson.
What is Domain and Range in a Function? Instructors teach students to determine domain and range values.
How to Compose Functions The process of function composition is demonstrated to students.
Inverse Functions Instructors teach students to write inverse functions.
Applying Function Operations Practice Problems Students learn to solve more intricate domain, range and function operations problems.
Linear and Nonlinear Functions The rules for evaluating linear and nonlinear functions are explained in this lesson.

8 Lessons in Chapter 30: 6th-8th Grade Math: Properties of Functions
What is a Function: Basics and Key Terms

1. What is a Function: Basics and Key Terms

Mapping numbers sounds complex, but we do it when we buy gasoline. We pump gasoline, and the gas station charges us based on the amount of gas that we pump. Learn how this relates to functions while reviewing the basics and notations in this lesson.

Transformations: How to Shift Graphs on a Plane

2. Transformations: How to Shift Graphs on a Plane

What is a transformation? Well, it's something that transforms one function into another! To see what I mean and how that looks, check out this lesson!

How to Add, Subtract, Multiply and Divide Functions

3. How to Add, Subtract, Multiply and Divide Functions

Adding, subtracting, multiplying and dividing functions is about as simple as substituting in expressions and then just doing whichever operation it asks you to do. Check out this video lesson to see some examples of this and learn just how easy it is!

What Is Domain and Range in a Function?

4. What Is Domain and Range in a Function?

The domain and range are the possible outputs and inputs of a function. In this lesson, learn about what might restrict the domain and how to figure out the domain and range from a graph.

How to Compose Functions

5. How to Compose Functions

Function composition is the process of putting two or more functions together. This video lesson will explain how this process works and also show you how to evaluate functions that have been composed.

Inverse Functions

6. Inverse Functions

Inverse functions are two functions that do exactly opposite things. Check out this lesson to learn about how to write inverse functions, find inverse functions, and predict whether or not they exist.

Applying Function Operations Practice Problems

7. Applying Function Operations Practice Problems

In this lesson, learn how to apply all the different properties of functions to solve complex problems. From function operations and composition to domain and range, get your practice here!

Linear and Nonlinear Functions

8. Linear and Nonlinear Functions

After watching this video lesson, you'll be able to tell the differences between linear and nonlinear functions. You'll also be able to identify both types just by looking at graphs.

Earning College Credit

Did you know… We have over 95 college courses that prepare you to earn credit by exam that is accepted by over 2,000 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Other Chapters

Other chapters within the 6th-8th Grade Math: Practice & Review course

Support