How to Graph Rational Functions - Part 3 - Sketching the Curve - Example 1

This video will walk viewers through all of the steps discussed in parts 1 and 2 to create the graph of a rational function. All of the pieces, such as, vertical asymptotes, horizontal asymptotes, holes and x and y-intercepts will illustrated in this video, along with creating test regions and using test points to create the graph sketch. Additionally, an algebraic example will be shown at the end of the video demonstrating the possibility of rational functions crossing horizontal asymptotes.

*** Links to other videos in the Series on Rational Functions

Rational Functions - Part 1 - Introduction, Domain and Vertical Asymptotes

Rational Functions - Part 2 - Holes, Horizontal Asymptotes and Slant Asymptotes

Table of Contents
Intro and Horizontal Asymptotes 00:00 - 11:05
Vertical Asymptotes and Holes 11:06 - 15:18
X and Y-intercepts 15:19 - 19:41
Test Regions/Curve Sketching 19:42 - 35:32
Reaching Horizontal Asymptotes 35:33 - 43:02