# Ch 9: High School Algebra - Properties of Functions: Homework Help

### About This Chapter

## How it works:

- Identify which concepts are covered on your properties of functions 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 properties of functions homework with ease!

## Topics from your homework you'll be able to complete:

- Understanding transformations
- Adding, subtracting, multiplying and dividing functions
- Using domain and range in a function
- Composing functions
- Finding inverse functions

### 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.

### 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!

### 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!

### 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.

### 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.

### 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. 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!

### 8. Concave: Definition, Shape & Function

In mathematics, we can have concave shapes and concave functions. In this lesson, through definition and example, we will learn what it means to be concave and what these shapes and functions look like.

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### Other Chapters

Other chapters within the High School Algebra I: Homework Help Resource course

- High School Algebra - Basic Arithmetic: Homework Help
- High School Algebra - Solving Math Word Problems: Homework Help
- High School Algebra - Decimals and Fractions: Homework Help
- High School Algebra - Percent Notation: Homework Help
- High School Algebra - Real Numbers: Homework Help
- High School Algebra Homework Help: Exponents & Exponential Expressions
- High School Algebra - Radical Expressions: Homework Help
- High School Algebra Homework Help: Algebraic Expressions & Equations
- High School Algebra - Matrices and Absolute Value: Homework Help
- High School Algebra - Working With Inequalities: Homework Help
- High School Algebra - Properties of Exponents: Homework Help
- High School Algebra - Complex and Imaginary Numbers: Homework Help
- High School Algebra - Algebraic Distribution: Homework Help
- High School Algebra - Linear Equations: Homework Help
- High School Algebra - Factoring: Homework Help
- High School Algebra Homework Help: Graph & Factor Quadratic Equations
- High School Algebra Homework Help: Polynomial Functions & Their Properties
- High School Algebra - Rational Expressions: Homework Help
- High School Algebra - Cubic Equations: Homework Help
- High School Algebra - Quadratic Equations: Homework Help
- High School Algebra - Measurement and Geometry: Homework Help
- High School Algebra Homework Help: Percent, Proportions & Ratios
- High School Algebra Homework Help: Probability, Data & Statistics
- High School Algebra - Well-Known Equations: Homework Help