Ch 33: GACE Middle Grades Math: Properties of Functions

About This Chapter

In these video lessons, re-examine how the relationships between different variables create mathematical functions. After checking out the lessons, take the chapter exam to see if you are ready for the GACE Middle Grades Mathematics assessment.

GACE Middle Grades Math: Properties of Functions - Chapter Summary

Get a fresh perspective on the properties of functions by watching these engaging lessons. To be better equipped for answering questions on the GACE Middle Grades Mathematics assessment, take the time to get re-familiar with the following topics:

  • Transformations
  • Mathematical operations with functions
  • Range and domain
  • Inverse functions
  • Comparing nonlinear and linear functions

We give you short video lessons that are filled with easy-to-follow instructions. The transcripts double as notes with the key terms already bolded for your convenience. Even though this material is probably review for most of you, we know that you might need some extra guidance, which is why we have instructors on stand-by to help you out.

8 Lessons in Chapter 33: GACE Middle Grades Math: Properties of Functions
Test your knowledge with a 30-question chapter practice test
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!

Linear and Nonlinear Functions

8. Linear and Nonlinear Functions

After watching this video lesson, you'll be able to tell the differences between linear and nonlinear functions. You'll also be able to identify both types just by looking at graphs.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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Other Chapters

Other chapters within the GACE Middle Grades Mathematics (013): Practice & Study Guide course

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