g3 – 4x2 x(r+ 8)(x - 2) (x +2)3 8(7r- 4) f(x) = with f'(x) = and f"(x) = (x + 2)² ' (x +2)4 d. Construct a table of signs for f' and f". From here, specify the following: i. the intervals on which the graph of f is increasing, decreasing, concave up, and concave down, and ii. the values of r at which f has relative extrema, inflection points, and vertical asymp- totes (if any). e. Sketch the graph of f with emphasis on concavity. Label all the intercept points, relative extremum points, and inflection points with their coordinates. Show the asymptotes of the graph of f and label them with their respective equations.
g3 – 4x2 x(r+ 8)(x - 2) (x +2)3 8(7r- 4) f(x) = with f'(x) = and f"(x) = (x + 2)² ' (x +2)4 d. Construct a table of signs for f' and f". From here, specify the following: i. the intervals on which the graph of f is increasing, decreasing, concave up, and concave down, and ii. the values of r at which f has relative extrema, inflection points, and vertical asymp- totes (if any). e. Sketch the graph of f with emphasis on concavity. Label all the intercept points, relative extremum points, and inflection points with their coordinates. Show the asymptotes of the graph of f and label them with their respective equations.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 58E
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