Book 2:  Composition and Inverse Functions
 
You Will

Subjects

 

Chapter 1

Chapter 2

Chapter 3

Chapter 4

Appendix

  • The Algebra of Functions

  • Composition of Functions

  • Inverse Functions

  • One-to-One Functions

  • What’s on the Tube?

  • A Mixed Bag

  • Taking a Little Latitude

  • And Back Again

 

Video Highlights

Functions can be combined in many different ways to make new functions. This book explains how functions are combined arithmetically and how one function may be applied to the output of another function. It also discusses how inverse functions can be mapped backward from a range value to a specific domain value. Examples include composition of functions that relate depth to dissolved gases in the blood and the encryption of codes.

 

Introduction

Chapter 1

Chapter 2

Chapter 3

Chapter 4

  • Combining Functions

  • The Gross National Product

  • The Other Three Operations

  • Composition of Functions

  • A Real-World Example

  • Scuba Diving Safety

  • Introduction to Inverse Functions

  • Two Examples of Inverse Functions

  • Secret Codes

  • One-to One Functions

  • Horizontal Line Test

  • Summary

 

Summary/Terminology

Dependent Variable
Division by Zero
Independent Variable
Undefined
Restriction of Domain
Subtracting Functions
Adding Functions
Multiplying Functions
Dividing Functions
Composition of Functions
Commutative Property
Circle

Algorithm
Decoding
ASCII
Decryption
Encoding
Encryption
Inverse Function
Horizontal Line Test
One-to-One Function
Step Function
Quadratic Function