Rational Functions

**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

3.5 Finding the X and Y Intercepts

3.6 The Graph of a Rational Function

3.7 Discontinuities