TExMaT Master Mathematics Teacher 8-12: Exponential & Logarithmic Functions - Videos & Lessons

About This Chapter

Use these video lessons and quizzes to get expert instruction on the exponential and logarithmic function topics you need to review. Logarithmic scales, exponential growth and compound interest formulas are just some of the TExMaT Master Mathematics Teacher 8-12 exam topics covered in this chapter.

TExMaT Master Mathematics Teacher 8-12: Exponential & Logarithmic Functions - Chapter Summary

Find all the resources you'll need to review exponential and logarithmic function topics in time for the TExMaT Master Mathematics Teacher 8-12 exam. Video lessons and quizzes cover:

Exponential functions
Exponential growth and decay
Compounding interest formulas
Identifying and evaluating of logarithms
Logarithmic properties and scales
Exponential equation and logarithmic equation problem-solving methods
Transformations of logarithms and exponential functions
The change of base formula
Logistic population growth

To help you fully prepare for your testing appointment, this chapter includes illustrated video lessons lasting less than ten minutes each as well as transcripts and multiple-choice quizzes that link back to video content. All of these resources are self paced, which means you'll spend your study time focusing on the function topics you want to review.

TExMaT Master Mathematics Teacher 8-12: Exponential & Logarithmic Functions - Chapter Objectives

The TExMaT Master Mathematics Teacher 8-12 exam is administered to aspiring Texas Master Mathematics Teachers who want to take on the mentoring responsibilities that come with this advanced credential. The exam includes 90 multiple-choice questions and a case study assignment requiring you to develop an essay.

Lessons in this chapter can help you prepare for precalculus and calculus questions testing your ability to graph and solve logarithmic and exponential functions, calculate exponential growth and decay, use logarithmic scales and solve compound interest problems. These and other types of precalculus and calculus questions make up 16% of exam content.

13 Lessons in Chapter 23: TExMaT Master Mathematics Teacher 8-12: Exponential & Logarithmic Functions

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1. What Is an Exponential Function?

Brand new technologies don't always catch on right away because they can be expensive and don't always work as well as they should. But once the price comes down, and they start to work better, it doesn't take very long before it seems like everyone has one. Learn about the numbers behind this, exponential functions!

2. Exponential Growth vs. Decay

How is it that it only takes four years for our computer to go from top-of-the-line to almost worthless? Well, it has something to do with what's called exponential decay, which we'll learn about here!

3. Compounding Interest Formulas: Calculations & Examples

Compound interest is a great way to have your money work for you. In this lesson, find out the formula for calculating compound interest and practice using the formula with several examples.

4. What is a Logarithm?

Logarithms can help you solve exponential functions. In this lesson, you will learn about how to work with and recognize logarithms, and how to use logarithm notation with an example problem about earthquakes!

5. How to Evaluate Logarithms

Using this lesson, you can get practice evaluating logarithms, as well as learn some of the shortcuts behind writing and estimating them. You can also learn how to use your calculator to evaluate logarithms, and learn about a concept called the change of base theory.

6. Logarithmic Properties

Along with the change of base property, there are three other logarithmic properties that allow you to manipulate expressions to your advantage. Learn about the product rule, quotient rule and power rule here.

7. Logarithmic Scale: Definition & Overview

A logarithmic scale is a useful way to represent information on a graph, especially when there are exponential changes in the magnitude of the numbers. Learn more, look at several examples and take a quiz to test your knowledge.

8. How to Solve Exponential Equations

Read this lesson to learn the steps you need to take to solve exponential equations. You'll see that it's not too difficult; you just need to make use of one other mathematical operation in order to solve your problems.

9. How to Solve Logarithmic Equations

If you're ever picking out a telescope to see your favorite planet, make sure you do the math first! Learn how to solve the logarithmic equation that will get you the size telescope you want.

10. How to Graph Logarithms: Transformations and Effects on Domain/Range

The graph of a basic logarithm is relatively simple. This lesson will show you how to graph a logarithm and what the transformations will do to the graph as well as their effects on the domain and range of the graph.

11. Transformation of Exponential Functions: Examples & Summary

All exponential functions follow a basic graph. But when you make changes to the function, you will see the graph shift and make changes. Watch this video lesson to learn how to easily identify these changes or transformations.

12. Using the Change-of-Base Formula for Logarithms: Definition & Example

Logarithms have many uses in the real world. But what happens when the calculation uses a base other than the standard base 10? Watch this video to find out how to handle this situation and the formula to use.

13. Logistic Population Growth: Equation, Definition & Graph

Populations tend to get larger until there is no longer enough food or space to support so many individuals. This type of growth is called logistic population growth, and you can learn more about it in this lesson.

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