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Ch 9: Holt McDougal Algebra 2 Chapter 9: Properties and Attributes of Functions

About This Chapter

The Properties and Attributes of Functions chapter of this Holt McDougal Algebra 2 Textbook Companion Course helps students learn essential algebra lessons on properties and attributes of functions. Each of these simple and fun video lessons is about five minutes long and is sequenced to align with the Properties and Attributes of Functions textbook chapter.

How it works:

  • Identify the lessons in the Holt McDougal Algebra 2 Properties and Attributes of Functions chapter with which you need help.
  • Find the corresponding video lessons within this companion course chapter.
  • Watch fun videos that cover the properties and attributes of functions topics you need to learn or review.
  • Complete the quizzes to test your understanding.
  • If you need additional help, rewatch the videos until you've mastered the material or submit a question for one of our instructors.

Students will learn:

  • Graphs of basic functions
  • Piecewise functions
  • Addition, subtraction, multiplication and division of functions
  • Domain and range of composite functions
  • Inverse functions
  • One-to-one functions

Holt McDougal is a registered trademark of Houghton Mifflin Harcourt, which is not affiliated with Study.com.

11 Lessons in Chapter 9: Holt McDougal Algebra 2 Chapter 9: Properties and Attributes of Functions
Test your knowledge with a 30-question chapter practice test
Graphing Basic Functions

1. Graphing Basic Functions

Graphs are just like maps - when you know the language! Review how locations have x and y coordinates similar to latitude and longitude, and how to plot points in the Cartesian plane.

What are Piecewise Functions?

2. What are Piecewise Functions?

A piecewise function is a certain type of function that is made up of different parts. This lesson will define and describe piecewise functions and teach you how to identify them and how to write them.

How to Graph Piecewise Functions

3. How to Graph Piecewise Functions

Piecewise functions are specific functions that have more than one piece. There is a special trick to graphing these type of functions, which you will learn in this lesson.

Step Function: Definition, Equation & Examples

4. Step Function: Definition, Equation & Examples

In this lesson, we'll learn what a step function is and become comfortable with this type of function. We'll examine common examples, such as the floor and ceiling functions and the heaviside function.

Translating Piecewise Functions

5. Translating Piecewise Functions

Piecewise functions are two or more functions that only use part of a domain. If these functions need to be changed, we can translate them without even having to know the equation.

How to Compose Functions

6. 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.

How to Add, Subtract, Multiply and Divide Functions

7. 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!

Applying Function Operations Practice Problems

8. 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!

Domain & Range of Composite Functions: Definition & Examples

9. Domain & Range of Composite Functions: Definition & Examples

Learn what makes a function a composite function and also learn how the parts of a composite function determine its domain. Also in this video lesson, learn about the range of composite functions.

Inverse Functions

10. 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.

One-to-One Functions: Definitions and Examples

11. One-to-One Functions: Definitions and Examples

Watch this video lesson to learn what makes a one-to-one function different from a regular function. Learn a simple test you can use to check whether a function is one-to-one or not.

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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