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3.6 Curve Sketching Slant Asymptotes Objective: Analyze and sketch the graph of a function AP Calculus AB.

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Presentation on theme: "3.6 Curve Sketching Slant Asymptotes Objective: Analyze and sketch the graph of a function AP Calculus AB."— Presentation transcript:

1 3.6 Curve Sketching Slant Asymptotes Objective: Analyze and sketch the graph of a function AP Calculus AB

2 Need to Find or Think About

3 Sketch a Graph

4 IntervalConclusion XXXXX Negative Dec, Con Dn XXXXX Undefined V.Asymptote Negative Positive Dec, Con Up 4.50PositiveCrit. Pt., Min Positive Inc, Con Up Undefined V. Asymptote PositiveNegativeInc, Con Dn

5 Slant Asymptotes To find slant asymptotes, use division to rewrite the rational function as the sum of the 1 st Degree Polynomial and another rational function. If the degree in the numerator is higher than the degree in the denominator by 1, then there will be a slant asymptote.

6 Find the vertical and slant asymptotes Sketch a graph

7 Find the vertical and slant asymptotes Sketch a graph

8 Find the vertical and slant asymptotes Sketch a graph

9 Pg. 215 #13

10 Formative Assessment Pg. 215 (7-19) odd Use a chart to stay organized. College Board does not read. You must explain. IntervalConclusion


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