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Ch 12: Function Operations: Homeschool Curriculum

About This Chapter

The Function Operations unit of this High School Trigonometry Homeschool Curriculum course is designed to help homeschooled students learn about function operations. Parents can use the short videos to introduce topics, break up lessons and keep students engaged.

Who's it for?

This unit of our High School Trigonometry Homeschool Curriculum course will benefit any student who is trying to learn about function operations. There is no faster or easier way to learn about function operations. Among those who would benefit are:

  • Students who require an efficient, self-paced course of study to learn about composite, inverse and one-to-one functions.
  • Homeschool parents looking to spend less time preparing lessons and more time teaching.
  • Homeschool parents who need a math curriculum that appeals to multiple learning types (visual or auditory).
  • Gifted students and students with learning differences.

How it works:

  • Students watch a short, fun video lesson that covers a specific unit topic.
  • Students and parents can refer to the video transcripts to reinforce learning.
  • Short quizzes and a Function Operations unit exam confirm understanding or identify any topics that require review.

Functions Operations Unit Objectives:

  • Add, subtract, multiply and divide functions.
  • Understand how to compose functions.
  • Learn to graph functions of functions.
  • Find the domain and range of composite functions.
  • Learn how to graph inverse functions.
  • Provide examples of one-to-one functions.
  • Learn to manipulate functions to solve equations.
  • Find out how to solve equations with different variables.

9 Lessons in Chapter 12: Function Operations: Homeschool Curriculum
Test your knowledge with a 30-question chapter practice test
How to Add, Subtract, Multiply and Divide Functions

1. 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!

How to Compose Functions

2. 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.

Applying Function Operations Practice Problems

3. 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!

Compounding Functions and Graphing Functions of Functions

4. Compounding Functions and Graphing Functions of Functions

We know that functions map numbers to other numbers, so what happens when you have a function of a function? Welcome to functions within functions, the realm of composite functions!

Domain & Range of Composite Functions: Definition & Examples

5. 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

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.

Understanding and Graphing the Inverse Function

7. Understanding and Graphing the Inverse Function

If you use a function to map a to b, is there a way to go back from b to a again? Learn how to find and graph inverse functions so that you can turn a into b and back into a.

One-to-One Functions: Definitions and Examples

8. 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.

Manipulating Functions and Solving Equations for Different Variables

9. Manipulating Functions and Solving Equations for Different Variables

Functions can be manipulated to solve for many different variables. There are certain rules to follow, but if the rules are adhered to, solving equations can be quite simple. This lesson will show you how.

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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