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Download Section 3.6 A Summary of Curve Sketching Slant (Oblique) Asymptote
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Section 3.6 A Summary of Curve Sketching Slant (Oblique) Asymptote The graph of a rational function ( having no common factors ) has a slant asymptote if the degree of the numerator exceeds the degree of the denominator by exactly 1. To find the slant asymptote, use division to rewrite the rational function as the sum of a first-degree polynomial and another rational function. The 1st-degree polynomial will be the equation for the slant asymptote. Guidelines for Analyzing the Graph of a Function Determine any intercepts (x and y ). Determine any asymptotes (vertical, horizonal, and slant). Locate critical numbers and determine relative extrema. Locate PIP's and determine points of inflection.