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)
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