Book 5:  Rational Functions  

You Will

 Subjects

 

Chapter 1

Chapter 2

Chapter 3

Appendix

  • Identifying Rational Functions

  • Graphing Rational Functions

  • Interpreting Rational Functions

  • Full Life

  • A Founding Function

  • A Logical Move

 

Video Highlights

Rational functions are composed of polynomial functions but behave differently than polynomial functions because rational functions have a denominator. This book explains the general characteristics of rational functions and shows how to interpret their graphs. Examples of rational functions include gas mileage efficiency, legislative reapportionment, and energy consumption by salmon.

 

Introduction

Chapter 1

Chapter 2

Chapter 3

  • Tuning Up

  • A Preview of Coming Equations

  • Defining Rational Functions

  • Introducing Asymptotes

  • Clues for Graphing

  • Rational Functional Apportionment

  • Swimming Upstream

  • Behind the Function

  • Finding a Middle Ground

  • Wrapping Up

 

Summary/Terminology

 

Polynomial
Rational Function
Domain of a Function
Undefined
Degree of a Polynomial
Asymptote
Vertical Asymptote
Horizontal Asymptote
X-Intercept
Y-Intercept

Absolute Value
Steps to Graph a Rational Function
The symbol for infinity
Degree of Numerator > degree of Denominator
Degree of Numerator < Degree of Denominator
Degree of Numerator = Degree of Denominator
Oblique Asymptote
Division of Polynomials