1001_4.3_Lab_19

1001_4.3_Lab_19 - e) Make a sign analysis of "...

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CALCULUS 1 LAB 19 NAME: ___________________PARTNER: _________________ 4.3 Analysis of Functions III GSA: ______________________Lab Time: ____________ Graphing Rational Functions, Vertical Asymptotes and Horizontal Asymptotes Basic Guidelines: a) Find any vertical asymptotes and horizontal asymptotes. b) Find all critical points and make a sign analysis of " f ( x ) . c) Find any intervals where f ( x ) is increasing or decreasing. d) Find any relative extrema (these are functional values, y-values, not points and not x-values) by using the First Derivative Test.
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Unformatted text preview: e) Make a sign analysis of " " f ( x ) . f) Find any open intervals where ) ( x f is concave up or concave down. g) Find any relative extrema (again, these are functional values, y-values, not points and not x-values) by using the Second Derivative Test. Note: the SDT can only be applied at stationary points. h) Find the x-coordinates of any inflection points. i) Sketch the graph, label the asymptotes and the coordinates where we have relative extrema and inflection points. 1. 2 2 4 ) ( x x x f ! = 2. f ( x ) = x x 2 " 2 x + 1 (on other side)...
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