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Ch 12: MTLE Mathematics: Functions

About This Chapter

Review fun lessons that explore how to graph, compose and better understand functions as you study for the MTLE Mathematics assessment. Brush up on your knowledge of the subject area, then test that knowledge by taking lesson quizzes.

MTLE Mathematics: Functions - Chapter Summary

Take advantage of this in-depth look at functions, prepared by quality subject matter experts. They have made it possible for you to review text and video lessons from the comfort of your home. This chapter will ensure you're ready for the following on the MTLE Mathematics assessment:

  • Understanding the basics and key terms of a function
  • Graphing basic functions, and comparing properties of functions graphically and algebraically
  • Defining and explaining the rules of the function table in math
  • Describing transformations and how to shift graphs on a plane
  • Sharing the meaning of domain and range of composite functions
  • Getting the gist of and graphing inverse functions

Expert instructors present entertaining lessons that deepen your understanding of functions. Access lesson transcripts you can print and add to your existing study guide for the test. Lesson quizzes are available to reinforce concepts you've explored in the lessons. A practice chapter exam provides you with an even broader review of the lessons.

11 Lessons in Chapter 12: MTLE Mathematics: 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.

Graphing Basic Functions

2. Graphing Basic Functions

Graphs are just like maps - when you know the language! Review how locations have x and y coordinates similar to latitude and longitude, and how to plot points in the Cartesian plane.

Compare Properties of Functions Algebraically

3. 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

4. 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.

Function Table in Math: Definition, Rules & Examples

5. Function Table in Math: Definition, Rules & Examples

Functions can be represented in four different ways. In this lesson, we will learn what a function table is, and how and when to use a function table to represent a function. We will also explore the rules that define a given function table.

Transformations: How to Shift Graphs on a Plane

6. 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?

7. 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

8. 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

9. 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.

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.

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 MTLE Mathematics: Practice & Study Guide course

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