# Ch 6: Algebra II - Properties of Functions Review: Homework Help

**Start Your Free Trial Today**

### About This Chapter

## How it works:

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

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

- Learning function basics and terms
- Performing transformations and shifting graphs on a plane
- Adding, subtracting, multiplying and dividing functions
- Defining domain and range in functions
- Composing functions
- Finding inverse functions
- Applying function operations

### 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!

**Custom Courses**are courses that you create from Study.com lessons. Use them just like other courses to track progress, access quizzes and exams, and share content.

**Create a new course**from any lesson page or your dashboard.

**Edit**your Custom Course directly from your dashboard.

### Earning College Credit

Did you know… We have over 95 college courses that prepare you to earn credit by exam that is accepted by over 2,000 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

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

- Algebra II - Basic Arithmetic Review: Homework Help
- Homework Help for Algebraic Expressions and Equations - Algebra II
- Algebra II - Real Numbers: Homework Help
- Algebra II - Complex and Imaginary Numbers Review: Homework Help
- Algebra II Homework Help: Exponents & Exponential Expressions
- Algebra II - Linear Equations Review: Homework Help
- Algebra II - Systems of Linear Equations: Homework Help
- Algebra II - Inequalities Review: Homework Help
- Algebra II - Matrices and Determinants: Homework Help
- Algebra II - Absolute Value Review: Homework Help
- Algebra II - Polynomials: Homework Help
- Algebra II - Factoring: Homework Help
- Algebra II Homework Help: Quadratic Equations
- Algebra II - Rational Expressions: Homework Help
- Algebra II - Graphing and Functions: Homework Help
- Algebra II - Roots and Radical Expressions Review: Homework Help
- Algebra II - Quadratic Equations: Homework Help
- Algebra II - Exponential and Logarithmic Functions: Homework Help
- Algebra II - Conic Sections: Homework Help
- Algebra II - Sequences and Series: Homework Help
- Algebra II - Sets: Homework Help
- Algebra II - Combinatorics: Homework Help
- Algebra II Percents & Proportions: Homework Help
- Algebra II - Statistics: Homework Help
- Algebra II - Trigonometry: Homework Help