Ch 19: NMTA Middle Grades Math: Properties of Functions

About This Chapter

The NMTA Middle Grades Math exam tests your knowledge of functions, and we're here to help you prepare! Let our world-class math teachers get your functions skills up to speed with this collection of short video lessons.

NMTA Middle Grades Math: Properties of Functions - Chapter Summary

This chapter focuses exclusively on the various properties of functions, including functions in graphs and standard equations. Some other relevant topics we'll cover include:

  • A function's domain and range
  • Composing functions
  • Dealing with linear and nonlinear functions
  • Adding and subtracting functions
  • Inverse functions

With these video lessons, created by our subject-matter experts, it's never been easier to refresh your understanding of functions and their properties. Assess your skills at the end of each lesson, and reach out to our teachers any time you have a question.

Objectives of the NMTA Middle Grades Math: Properties of Functions Overview Chapter

With the video lessons in this chapter, you'll be prepared for any function-related problem on the NMTA Middle Grades Math test. The test could include questions that ask you to analyze the effects of graph transformation on a function or work with functions in word problems, tables, equations and more.

You're given four hours and 15 minutes to answer all 150 multiple-choice questions in a computer-based format. The passing score is 220, and you'll know whether or not you passed upon completing the exam. Official score reports are typically released within two weeks.

8 Lessons in Chapter 19: NMTA 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.
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Other Chapters

Other chapters within the NMTA Middle Grades Mathematics (203): Practice & Study Guide course