Ch 20: TExMaT Master Mathematics Teacher 8-12: Functions

About This Chapter

Check out this chapter's video lessons on functions and make certain you're ready to answer related questions on the TExMaT Master Mathematics Teacher 8-12 examination. The chapter also includes handy lesson quizzes and a practice examination.

TExMaT Master Mathematics Teacher 8-12: Functions - Chapter Summary

Get set to answer questions on functions when you sit for the TExMaT Master Mathematics Teacher 8-12 examination. Watch this chapter's videos, which outline the properties of functions and remind you of the necessary steps for performing operations with them. Strengthen your ability to recognize linear functions and to identify different kinds of transformations. The videos can also assist you with:

  • Visualizing, writing and comparing algebraic functions
  • Identifying graphs of functions and comparing functions numerically
  • Transforming functions and shifting graphs
  • Calculating the domain and range of composite functions and graphing composite functions
  • Understanding how to compose, add, subtract, divide and multiply functions
  • Finding, writing and graphing inverse functions
  • Identifying symmetry graphically, numerically and algebraically about the origin and the x-axis
  • Working with even and odd functions

Well-educated instructors present these topics so that you can get a better understanding of functions. The self-paced interactive lessons consist of video tags for easily finding information, and they include corresponding text transcripts. You'll have opportunities to submit your questions and to enhance the learning process by taking the lesson quizzes.

TExMaT Master Mathematics Teacher 8-12: Functions Chapter Objectives

The 'Patterns and Algebra' section of the six-part TExMaT Master Mathematics Teacher 8-12 examination is where you'll demonstrate how well you've reviewed and retained this chapter's information. Equal to 18% of the entire test score, this section may require that you identify odd and even functions, analyze inverse functions and display your understanding of what a function represents. You must answer 90 multiple-choice questions and complete one case study assignment in order to qualify for the Master Mathematics Teacher (MMT) certification. The examination is paper-administered and lasts up to five hours.

14 Lessons in Chapter 20: TExMaT Master Mathematics Teacher 8-12: Functions
Test your knowledge with a 30-question chapter practice test
Compare Properties of Functions Algebraically

1. Compare Properties of Functions Algebraically

In this lesson, we will explore algebraic and numeric properties and the evaluation of functions. We'll demonstrate function evaluations and the idea that every element of the domain has a unique element in the range.

Compare Properties of Functions Graphically

2. Compare Properties of Functions Graphically

In this lesson, we will cover the characteristics of graphs of functions. We will employ the vertical line test and understand why some graphs do not qualify as functions.

Compare Properties of Functions Numerically

3. Compare Properties of Functions Numerically

Can you compare functions when they're written out numerically as tables of values? In this lesson, you'll learn to do just that and to compare one function as a table to another written in a different form.

Transformations: How to Shift Graphs on a Plane

4. 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!

What Is Domain and Range in a Function?

5. 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 Add, Subtract, Multiply and Divide Functions

6. 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!

How to Compose Functions

7. 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.

Domain & Range of Composite Functions: Definition & Examples

8. Domain & Range of Composite Functions: Definition & Examples

Learn what makes a function a composite function and also learn how the parts of a composite function determine its domain. Also in this video lesson, learn about the range of composite functions.

Compounding Functions and Graphing Functions of Functions

9. Compounding Functions and Graphing Functions of Functions

We know that functions map numbers to other numbers, so what happens when you have a function of a function? Welcome to functions within functions, the realm of composite functions!

Inverse Functions

10. 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.

Understanding and Graphing the Inverse Function

11. Understanding and Graphing the Inverse Function

If you use a function to map a to b, is there a way to go back from b to a again? Learn how to find and graph inverse functions so that you can turn a into b and back into a.

Recognizing Symmetry Graphically, Algebraically, and Numerically About the X-axis and Y-axis

12. Recognizing Symmetry Graphically, Algebraically, and Numerically About the X-axis and Y-axis

When you fold a piece of paper exactly in half, you are creating symmetry. Symmetry is found in many areas of mathematics. In this lesson, learn to recognize symmetry graphically, algebraically, and numerically about the x- and y- axes.

Recognizing Symmetry Graphically, Algebraically & Numerically About the Origin

13. Recognizing Symmetry Graphically, Algebraically & Numerically About the Origin

If you look at flowers and fruits, you'll see that many of these items in nature are symmetrical. In this lesson, learn about symmetry about the origin of a graph. When you are finished, test your knowledge with a short quiz!

Even & Odd Functions: Definition & Examples

14. Even & Odd Functions: Definition & Examples

Even and odd functions are an aspect of line symmetry. You can use knowledge of even and odd functions to quickly identify equation symmetry. After this lesson, test your knowledge with a short quiz!

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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