Rational Functions Graphing

How to Graph Rational Functions using vertical asymptotes, horizontal asymptotes, x-intercepts, and y-intercepts.

0:12 Example 1 Degree in Denominator is Greater than Numerator
0:48 Factoring to Look For Discontinuities
1:19 Set Denominator Factors to Zero to Find Vertical Asymptotes
1:58 Finding X and Y Intercepts
2:49 Using Sign Analysis to Determine the Behavior Near Asymptotes
5:16 Can Cross a Horizontal Asymptotes but Not a Vertical One
6:00 Example 2 Degree in Numerator Equals Degree in Denominator
6:48 Horizontal Asymptote Equal to Ratio of Coefficients
7:12 Identifying a Hole
7:33 How to Find the Y-Coordinate of the Hole
8:20 Locating Vertical Asymptote
8:30 Finding X and Y Intercepts
9:30 Using Sign Analysis to Determine Behavior Near Vertical Asymptotes
10:33 Example 3 Degree in Numerator is Higher than Denominator
11:30 Using Division to Find Equation of Slant Asymptote
12:11 How to Find Vertical Asymptote
12:20 Finding X and Y Intercepts

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