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Calculus IV
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Course: College Algebra
Topic: Polynomial and Rational Functions
Subtopic: Rational Functions & Graphs

Overview

In this lesson we study the graphs of rational functions. Rational functions are fractions with a polynomial in each of the numerator and the denominator. Their graphs have special features such as asymptote lines and holes (missing points). Our goal is to algebraically find these features from the function and then put the information together to produce the graph by hand.

Objectives

By the end of this topic you should know and be prepared to be tested on:

Terminology

Define: rational function, missing points, asymptote line (vertical, horizontal, and oblique)

Supplementary Resources

Prof. Hoover's Review of Rational Functions and Asymptotes provides a comprehensive overview of the formulas and processes for algebraically finding the key features of the graph of a rational function.