Introduction to Rational Functions:
Rational Functions are quotients (quantity produced by the division of two numbers) of polynomial functions. This means that rational functions can be expressed as (1)
\begin{align} f(x)=\frac{p(x)}{q(x)}\ \end{align}

where p and q are polynomial functions and q(x)can't equal zero. The domain of a rational function is the set of all real numbers except the x-values that make the denominator zero.
They are different from other functions because asymptotes can occur.

Tasks you will learn in this Section:
What is a Rational Function?
What is an asymptote?
How to graph an asymptote
How to use arrow notation
How to find X and Y intercepts
How to graph a Rational Function
What is a discontinuity?
Finding and Graphing Discontinuities

Table of Contents:

3.1 Properties of Rational Functions

3.2 Vertical Asymptotes

3.3 Horizontal Asymptotes

3.4 Oblique Asymptotes

3.5 Finding the X and Y Intercepts

3.6 The Graph of a Rational Function

3.7 Discontinuities

3.8 Chapter Test Review

Chapter Test

Chapter Test Answers