Ch 8: Saxon Calculus: Basics of Functions

About This Chapter

The Basics of Functions chapter of this Saxon Calculus Companion Course aligns with the same chapter in the Saxon Calculus textbook. These simple and fun lessons are brief and help you learn the essential lessons about functions, domain, range and more.

How It Works:

  • Find the lesson within this chapter that corresponds to what you're studying in the Basics of Functions chapter of your textbook.
  • Review the lessons that cover the calculus concepts you need to learn or review.
  • Complete the quiz after watching each video lesson to test your understanding.
  • If you need additional help, go back over the lessons until you've mastered the material, or submit a question for one of our instructors.

Chapter Topics

You'll learn all of the calculus topics covered in the textbook chapter, including:

  • Rules and samples of function tables
  • How to identify and graph basic functions
  • Identifying range and domain
  • Composing and performing operations with functions
  • Understanding inverse, odd and even functions

Saxon is a registered trademark of Houghton Mifflin Harcourt, which is not affiliated with Study.com.

8 Lessons in Chapter 8: Saxon Calculus: Basics of Functions
Test your knowledge with a 30-question chapter practice test
Function Table in Math: Definition, Rules & Examples

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

A function table in math uses a tabular form to display inputs and outputs that correspond in a function. Explore the definition, rules, and examples of function tables and learn when to use them.

Graphing Basic Functions

2. Graphing Basic Functions

Graphing basic functions on a Cartesian plane is similar to finding a spot on a map. Learn more about the similarities between maps and graphs, the functions of ordered pairs and quadrants, and how to graph their functions.

Functions: Identification, Notation & Practice Problems

3. Functions: Identification, Notation & Practice Problems

Functions are equations that put one thing in to get another thing out. Explore function identification, notation examples, and function and relation practice problems.

What Is Domain and Range in a Function?

4. What Is Domain and Range in a Function?

The domain is the set of all the allowable input values of a function, while the range is the set of all possible output of the function. Learn how to find the domain and range of a function through given values, graphs, or general function rules.

How to Add, Subtract, Multiply and Divide Functions

5. How to Add, Subtract, Multiply and Divide Functions

Basic mathematical operations such as addition, subtraction, multiplication, and division can be performed on functions. Explore cost, revenue, and profit functions, and learn how to perform the four function operations.

How to Compose Functions

6. How to Compose Functions

Function composition refers to integrating or the combining of multiple functions, often simplifying them in the process. Discover how the rules of functional notation apply to composing functions through two different example problems.

Inverse Functions

7. Inverse Functions

An inverse function is a function that undoes a previous function and is expressed with the power of negative one. Explore inverse functions, confirming inverses, finding inverses, and learn about the horizontal line test.

Even & Odd Functions: Definition & Examples

8. Even & Odd Functions: Definition & Examples

Even and odd functions relate to a line of symmetry and show a relationship between x and y values on a graph. Learn how to define, compare, solve and identify even and odd functions using algebraic equations.

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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