Ch 9: Composing Functions: Homeschool Curriculum

About This Chapter

The Composing Functions unit of this High School Algebra I Homeschool course is designed to help homeschooled students learn about the properties of functions. 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 Algebra I Homeschool course will benefit any student who is trying to learn how to compose functions. There is no faster or easier way to learn about algebra. Among those who would benefit are:

  • Students who require an efficient, self-paced course of study to learn how to use function notation and to shift graphs on the x/y plane.
  • Homeschool parents looking to spend less time preparing lessons and more time teaching.
  • Homeschool parents who need an algebra 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 Composing Functions unit exam confirm understanding or identify any topics that require review.

Composing Functions Unit Objectives:

  • Describe how to use domain and range in a function.
  • Learn about inverse functions.
  • Practice applying function operations.
  • Discover how to add, subtract and divide functions.

7 Lessons in Chapter 9: Composing Functions: Homeschool Curriculum
Test your knowledge with a 30-question chapter practice test
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!

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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