Ch 19: ORELA Middle Grades Math: Properties of Functions

About This Chapter

Prepare for the ORELA Middle Grades Math test by watching our engaging educational videos on the properties of functions. The video lessons and quizzes included in this chapter can help you review how to perform a variety of operations using functions, including multiplying, dividing and transformations.

ORELA Middle Grades Math: Properties of Functions - Chapter Summary

The lessons in this chapter are designed to help you prepare for functions questions on the ORELA Middle Grades Math certification test used in Oregon. You'll review the basics of what a function is as well as how to find the inverse and compose functions. Some of the specific topics include:

  • Overview of functions
  • Shifting graphs on a plane
  • How to perform operations with functions
  • Domain and range
  • Composing functions
  • Inverse functions
  • Linear and nonlinear

This chapter includes multiple videos taught by experienced instructors who walk you through the steps for solving function-related math problems. They use graphics and real-world examples to help present concepts in a fun way. Multiple-choice quizzes and a chapter exam are also available to help you test your knowledge.

ORELA Middle Grades Math: Properties of Functions Objectives

The state of Oregon uses this licensure exam to measure the skills of those seeking an endorsement for teaching basic math to middle school students. This computer-based test is four hours and fifteen minutes long and includes 150 multiple-choice questions. Questions on this exam are pulled from four main content areas; the topics covered in this Properties of Functions chapter may be covered within the algebra and functions content area. Algebra and functions-related questions make up about 33% of the test questions. You can use the lessons and quizzes in this chapter to prepare for questions related to adding, subtracting and performing other operations with functions.

8 Lessons in Chapter 19: ORELA 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 ORELA Middle Grades Mathematics: Practice & Study Guide course