# Ch 9: Understanding Function Operations

Watch online math video lessons and learn about inverse functions, composite functions, one-to-one functions and more. Take the quizzes that follow each lesson to test your knowledge of function operations.

## Understanding Function Operations - Chapter Summary and Learning Objectives

You might already be aware of a function's use to calculate input and output values, but if you'd like to learn more about function operations, this chapter can introduce you to some advanced topics. Watch the video lessons to find out what the graph of a one-to-one function looks like and learn how to find the domain and range of a composite function. You can also discover the uses of the horizontal line test to determine which type of function you're dealing with. By the time you finish this chapter, you should be able to:

• Perform arithmetic operations with functions
• Graph composite functions
• Find and graph a function's inverse
• Identify one-to-one functions
• Solve equations with multiple variables

Video Objectives
How to Add, Subtract, Multiply, and Divide Functions Find out what's required to perform basic arithmetic operations with functions.
How to Compose Functions Get a refresher on function notation. Learn how to compose a function.
Applying Function Operations Practice Problems Practice composing functions, finding their domain and range and performing arithmetic operations.
Compounding Functions and Graphing Functions of Functions Learn what a composite function is and investigate its graph.
Domain & Range of Composite Functions: Definition & Examples Discover how domain and range are calculated when working with composite functions.
Inverse Functions Find out how to determine the inverse of a function. Explore the uses of the horizontal line test.
Understanding and Graphing the Inverse Function Review steps for finding a function's inverse. Learn how to graph inverse functions.
One-to-One Functions: Definitions and Examples Identify one-to-one functions by examining their graphs and using the horizontal line test.
Manipulating Functions and Solving Equations for Different Variables Explore basic rules for manipulating functions and solving equations with two or more variables.

9 Lessons in Chapter 9: Understanding Function Operations
Test your knowledge with a 30-question chapter practice test
Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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