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Ch 19: AEPA Middle Grades Math: Properties of Functions

About This Chapter

Arizona has replaced the AEPA Middle Grades Math exam with the National Evaluation Series (NES) Mathematics test. The video lessons in this chapter may prepare you for the questions on properties of functions on the NES Middle Grades Math test.

NES Middle Grades Math: Properties of Functions - Chapter Summary

The video lessons in this chapter will help you prepare for the NES Middle Grades Math exam by showing you what a function is and how to use functions. Armed with knowledge of the following methods, you'll be ready for these types of exam questions:

  • Defining functions and important terms regarding them
  • Shifting graphs on a plane
  • Adding, subtracting, multiplying and dividing functions
  • Identifying domain and range in a function
  • Composing functions
  • Recognizing and using inverse functions
  • Knowing the difference between linear and nonlinear functions

These lessons will help you answer the questions regarding functions on the exam through practice problems and examples from our expert instructors. You'll get the information you need to ace questions on functions and have fun while learning.

8 Lessons in Chapter 19: AEPA 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.
Not Taken
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 AEPA Middle Grades Mathematics (NT203): Practice & Study Guide course

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