Pre-AP Pre-Calculus Chapter 2, Section 6 Graphs of Rational Functions 2013 - 2014.

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Presentation transcript:

Pre-AP Pre-Calculus Chapter 2, Section 6 Graphs of Rational Functions

Definition: Rational Functions

Finding the domain of a rational function

The Reciprocal Function Domain: Range: Continuity: Decreasing: Symmetry: Local Extrema: Horizontal Asymptote: Vertical Asymptote: End Behavior

Transforming the reciprocal function

Horizontal Asymptotes

Horizontal Asymptote “tricks”

Finding Asymptotes

Analyze the graph of a rational function

Domain: Range: Continuity: Decreasing: Symmetry: Local Extrema: Horizontal Asymptotes: Vertical Asymptotes: End Behavior:

Analyze the graph of a rational function

Domain: Range: Continuity: Decreasing: Symmetry: Local Extrema: Horizontal Asymptotes: Vertical Asymptotes: End Behavior:

Long Division Practice

Ch. 2.6 Homework Pg. 245 – 247: #’s 1, 11, 17, 21, 27, 37, 63, 65 8 Total Problems Gray Book: