About This Chapter
How it works:
- Identify which concepts are covered on your function operations homework.
- Find videos on those topics within this chapter.
- Watch fun videos, pausing and reviewing as needed.
- Complete sample problems and get instant feedback.
- Finish your function operations homework with ease!
Topics from your homework you'll be able to complete:
- Composing functions
- Adding, subtracting, multiplying and dividing functions
- Compounding functions and graphing functions of functions
- Determining the domain and range of composite functions
- Finding and graphing inverse functions
- Identifying one-to-one functions
- Manipulating functions and solving equations for different variables
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!
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.
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!
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!
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.
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.
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.
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.
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.
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Other chapters within the High School Precalculus: Homework Help Resource course
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- Working With Inequalities: Homework Help
- Absolute Value Equations: Homework Help
- Working with Complex Numbers: Homework Help
- Systems of Linear Equations: Homework Help
- Mathematical Modeling: Homework Help
- Introduction to Quadratics: Homework Help
- Working with Quadratic Functions: Homework Help
- Geometry Basics for Precalculus: Homework Help
- Functions - Basics for Precalculus: Homework Help
- Graph Symmetry: Homework Help
- Graphing with Functions: Homework Help
- Rate of Change in Precalculus: Homework Help
- Polynomial Functions Basics: Homework Help
- Higher-Degree Polynomial Functions: Homework Help
- Rational Functions & Difference Quotients: Homework Help
- Rational Expressions and Function Graphs: Homework Help
- Exponential Functions & Logarithmic Functions: Homework Help
- Using Trigonometric Functions: Homework Help
- Trigonometric Graphs: Homework Help
- Solving Trigonometric Equations: Homework Help
- Trigonometric Identities: Homework Help
- Trigonometric Applications in Precalculus: Homework Help
- Graphing Piecewise Functions: Homework Help
- Vectors, Matrices and Determinants: Homework Help
- Mathematical Sequences and Series: Homework Help
- Sets in Algebra: Homework Help
- Analytic Geometry and Conic Sections: Homework Help
- Polar Coordinates and Parameterizations: Homework Help
- Continuity in Precalculus: Homework Help
- Limits in Precalculus: Homework Help