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Ch 10: High School Algebra: Properties of Functions

About This Chapter

Watch video lessons to learn about function notations, operations and terms. The lessons in this chapter cover computing functions, finding domains and ranges, transforming functions, and composing functions.

About This Chapter

In algebra, a function is just a special type of equation. To help you better understand the roles, terms and operations of functions, we've dedicated a chapter of this high school algebra course to making the learning of functions simple. The short videos define functions and cover the basic processes for solving functions. Stories, examples and themes overlap in these lessons, making the operations and calculations easier to follow and absorb.

Start out by learning the essential principles of a function notation and the key terms used to describe functions and their components. There's also a lesson especially for transforming functions using options like rotation, reflection, dilation and translation.

Just the appearance of a function can be a bit intimidating, but our lesson on the methods for adding, subtracting, multiplying and dividing functions helps remove some of the confusion and makes learning the operations easy. The lesson on domains and ranges can also help take away a bit more of the menacing aspects of functions by showing you their limitations.

Soon you'll be able to compose your own functions, though if you need some help in that department, check out the lesson on the topic. You can also learn how to write, find and predict inverse functions.

Wrap up the chapter by applying function operations you've learned to solve some complex practice problems. Each lesson also includes a short quiz to test your understanding of the topics covered in each lesson. Thanks for using our video lessons to help you learn about functions. We hope you find them useful and fun.

7 Lessons in Chapter 10: High School Algebra: Properties of Functions
What is a Function: Basics and Key Terms

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.

Transformations: How to Shift Graphs on a Plane

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!

How to Add, Subtract, Multiply and Divide Functions

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!

What Is Domain and Range in a Function?

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.

How to Compose Functions

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.

Inverse 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.

Applying Function Operations Practice Problems

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!

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