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

### About This Chapter

## Who's it for?

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

- Students who have fallen behind in understanding functions or working with transformations
- 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 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 Algebra II: Properties of Functions Review 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 Algebra II: Properties of Functions Review chapter exam to be prepared.**Get Extra Support**: Ask our subject-matter experts any properties of functions question. They're here to help!**Study With Flexibility**: Watch videos on any web-ready device.

## Students will review:

This chapter helps students review the concepts in an Algebra II: Properties of Functions Review unit of a standard high school algebra II course. Topics covered include:

- Adding, subtracting, multiplying and dividing functions
- Domain and range
- Composing functions
- Inverse functions

### 1. What is a Function: Basics and Key Terms

In calculus, functions map one set of numbers of another set of numbers, such as calculating the price of something bought by the pound. Learn about the basics of a function, examples of functions utilized in everyday life, the definitions of key terms like domain and range, and how to create a function and graph it.

### 2. Transformations: How to Shift Graphs on a Plane

Transformations in mathematics are functions that change into different functions. Explore the different types of transformations including rotations, reflections, dilations, and translations, and learn how to shift graphs on a plane.

### 3. How to Add, Subtract, Multiply and Divide Functions

Basic mathematical operations such as addition, subtraction, multiplication, and division can be performed on functions. Explore cost, revenue, and profit functions, and learn how to perform the four function operations.

### 4. What Is Domain and Range in a Function?

The domain is the set of all the allowable input values of a function, while the range is the set of all possible output of the function. Learn how to find the domain and range of a function through given values, graphs, or general function rules.

### 5. How to Compose Functions

Function composition refers to integrating or the combining of multiple functions, often simplifying them in the process. Discover how the rules of functional notation apply to composing functions through two different example problems.

### 6. Inverse Functions

An inverse function is a function that undoes a previous function and is expressed with the power of negative one. Explore inverse functions, confirming inverses, finding inverses, and learn about the horizontal line test.

### 7. Applying Function Operations Practice Problems

Function operations, the collection of knowledge about how to compose and solve functions in different ways, can be combined to solve more complex questions. Learn more about function operations and apply the principles of inverse functions, domain, range, and function composition to solve three practice problems.

### 8. Congruent Polygons: Definition & Examples

In this lesson, you'll review what polygons are, and you'll discover the conditions that polygons must meet in order to be congruent. Then, you can test your knowledge with a brief quiz.

### Earning College Credit

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### Other Chapters

Other chapters within the High School Algebra II: Help and Review course

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