# Chapter 9: Rational Functions

Difficulty Level:

**At Grade**Created by: CK-12

## Introduction

This chapter deals with functions that have the variable in the denominator of a fraction. First, we will discuss the concept of variation and how that relates to a rational function. Next, we will graph several different types of rational functions followed by multiplying, dividing, adding, and subtracting rational expressions. Lastly, we will solve rational equations.

## Chapter Outline

- 9.1. Direct Variation
- 9.2. Inverse Variation
- 9.3. Joint Variation
- 9.4. Graphing Rational Functions in Standard Form
- 9.5. Graphing when the Degrees of the Numerator and Denominator are the Same
- 9.6. Graphing when the Degrees of the Numerator and Denominator are Different
- 9.7. Simplifying Rational Expressions
- 9.8. Multiplying Rational Expressions
- 9.9. Dividing Rational Expressions
- 9.10. Adding and Subtracting Rational Expressions with Like Denominators
- 9.11. Adding and Subtracting Rational Expressions where One Denominator is the LCD
- 9.12. Adding and Subtracting Rational Expressions with Unlike Denominators
- 9.13. Complex Fractions
- 9.14. Solving Rational Equations using Cross-Multiplication
- 9.15. Solving Rational Equations using the LCD

### Chapter Summary

## Summary

This chapter covers variation, graphing rational functions, simplifying, multiplying, dividing, adding and subtracting rational expressions, and solving rational equations.

### Image Attributions

## Description

This chapter covers graphing and solving rational functions and equations.

## Difficulty Level:

At Grade## Tags:

## Subjects:

## Date Created:

Oct 08, 2013## Last Modified:

Apr 16, 2015**You can only attach files to chapter which belong to you**

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