About This Chapter
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?
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.
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.
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.
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.
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.
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.
Earning College Credit
Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.
To learn more, visit our Earning Credit Page
Transferring credit to the school of your choice
Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.
Other chapters within the Precalculus: Help and Review course
- Functions in Precalculus: Help and Review
- Evaluating Exponential and Logarithmic Functions: Help and Review
- Inequalities in Precalculus: Help and Review
- Foundations and Linear Equations in Precalculus: Help and Review
- Graphing and Rational Equations: Help and Review
- Factoring and Graphing Quadratic Equations: Help and Review
- Exponents and Polynomials in Precalculus: Help and Review
- Geometry and Trigonometry: Help and Review
- Using Scientific Calculators: Help and Review
- Trigonometry: Help and Review