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Ch 8: Using Algebraic Functions

About This Chapter

View the interactive video lessons in this chapter to gain insights on the use of algebraic functions. You could better your skills and ability to work with different functions.

Using Algebraic Functions - Chapter Summary

Reviewing the lessons gives you the ability to manipulate functions and find the range and domain of functions. You'll get to work out practice problems which will help you assess your skills and understanding.

The deeper you go into this chapter, the more you'll explore the different types of functions and their properties. After you have completed the lessons, you might:

  • Understand composite functions
  • Solve equations with different variables
  • Use function operations
  • Perform subtraction, addition, division and multiplication functions
  • Define inverse functions and transformations in math
  • Compare and contrast exponential growth and decay
  • Identify the formula used for total cost in economics

Learning new skills and understanding central concepts in regards to functions won't necessarily be hard when you study the lessons in this chapter. Professional instructors break down math principles and topics, making them easier to understand. After watching all of the videos, see what information you remember by using the self-assessment quizzes.

9 Lessons in Chapter 8: Using Algebraic Functions
Test your knowledge with a 30-question chapter practice test
What Is Domain and Range in a Function?

1. 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.

Domain & Range of Composite Functions: Definition & Examples

2. 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.

Manipulating Functions and Solving Equations for Different Variables

3. Manipulating Functions and Solving Equations for Different Variables

Functions can be manipulated to solve for many different variables. There are certain rules to follow, but if the rules are adhered to, solving equations can be quite simple. This lesson will show you how.

Applying Function Operations Practice Problems

4. 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!

How to Add, Subtract, Multiply and Divide Functions

5. 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!

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.

Transformations in Math: Definition & Graph

7. Transformations in Math: Definition & Graph

In geometry, transformation refers to the movement of objects in the coordinate plane. This lesson will define and give examples of each of the four common transformations and end with a quiz to make sure you are moving in the right direction.

Exponential Growth vs. Decay

8. 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!

Total Cost in Economics: Definition & Formula

9. Total Cost in Economics: Definition & Formula

Learn about what total cost really means in the economic world. Find out the important components that make up total cost and see how to correctly calculate some common total costs of products and services you may be familiar with.

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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