3.5 Summary of Curve Sketching

# 3.5 Summary of Curve Sketching - slant symptote if the...

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Summary of Curve Sketching Section 3.5

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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 o common factors) has a

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Unformatted text preview: slant symptote if the degree of the numerator xceeds the degree of the denominator by . To find the slant asymptote, use long ivision to rewrite the function. 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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## This note was uploaded on 12/01/2011 for the course MATH 112 taught by Professor Jarvis during the Fall '08 term at BYU.

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3.5 Summary of Curve Sketching - slant symptote if the...

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