Ch 8: Piecewise and Composite Functions: Help and Review

About This Chapter

The Piecewise and Composite Functions chapter of this Precalculus Help and Review course is the simplest way to master piecewise and composite functions. This chapter uses simple and fun videos that are about five minutes long, plus lesson quizzes and a chapter exam to ensure students learn the essentials of piecewise and composite functions.

Who's it for?

Anyone who needs help learning or mastering precalculus material will benefit from taking this course. There is no faster or easier way to learn precalculus. Among those who would benefit are:

  • Students who have fallen behind in understanding or working with piecewise and composite functions
  • Students who struggle with learning disabilities or learning differences, including autism and ADHD
  • Students who prefer multiple ways of learning math (visual or auditory)
  • Students who have missed class time and need to catch up
  • Students who need an efficient way to learn about piecewise and composite functions
  • Students who struggle to understand their teachers
  • Students who attend schools without extra math learning resources

How it works:

  • Find videos in our course that cover what you need to learn or review.
  • Press play and watch the video lesson.
  • Refer to the video transcripts to reinforce your learning.
  • Test your understanding of each lesson with short quizzes.
  • Verify you're ready by completing the Piecewise and Composite Functions chapter exam.

Why it works:

  • Study Efficiently: Skip what you know, review what you don't.
  • Retain What You Learn: Engaging animations and real-life examples make topics easy to grasp.
  • Be Ready on Test Day: Use the Piecewise and Composite Functions chapter exam to be prepared.
  • Get Extra Support: Ask our subject-matter experts any piecewise and composite functions question. They're here to help!
  • Study With Flexibility: Watch videos on any web-ready device.

Students will review:

In this chapter, you'll find answers to questions including:

  • What is the definition of a piecewise function?
  • How do I find the domain of a piecewise function?
  • How do I graph piecewise functions?
  • What's the procedure for translating piecewise functions?
  • How do I evaluate a composite function?
  • How do I manipulate functions and solve equations for different variables?

6 Lessons in Chapter 8: Piecewise and Composite Functions: Help and Review
Test your knowledge with a 30-question chapter practice test
What are Piecewise Functions?

1. 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 Find the Domain of Piecewise Functions

2. How to Find the Domain of Piecewise Functions

The domain of any function is all the values that x can be for that function. Piecewise functions are special functions that have different parts with unique rules for each part. This lesson will show you how to find the domain for piecewise functions.

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.

Translating Piecewise Functions

4. 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 Evaluate Composite Functions

5. How to Evaluate Composite Functions

Sometimes a math function depends on the outcome of another function. This lesson breaks down this chain reaction, called a composite function, and how to evaluate them.

Manipulating Functions and Solving Equations for Different Variables

6. 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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