A Summary of Curve Sketching

# A Summary of Curve Sketching - asymptote if the degree of...

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A Summary of Curve Sketching Section 3.6

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Guidelines for Analyzing the Graph of a Function Determine the domain and range of the function. Determine the intercepts and asymptotes of the graph. Locate the x-values for which f ’(x) and f ’’(x) are either zero or undefined. Use the results to determine relative extrema and points of inflection.
The graph of a rational function (having no common factors) has a slant

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Unformatted text preview: asymptote if the degree of the numerator exceeds the degree of the denominator by 1. To find the slant asymptote, use long division to rewrite the function. (Ex. 2 pg. 198) In general, a polynomial function of degree n can have at most n – 1 relative extrema, and at most n – 2 points of inflection. Joke Time What do you call a nerd cheer? a square root What do you call a sunburned man? A tan-gent...
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A Summary of Curve Sketching - asymptote if the degree of...

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