NO TE: When using interval notation in WeBWork, remember that: You use 'INF' for oo and '-INF' for -0. And use 'U' for the union symbol. Enter DNE if an answer does not exist. f(x) = x²e* a) Determine the intervals on which f is concave up and concave down. f is concave up on: f is concave down on: b) Based on your answer to part (a), determine the inflection points of f. Each point should be entered as an ordered pair (that is, in the form (x, y). (Separate multiple answers by commas.) C) Find the critical numbers of f and use the Second Derivative Test, when possible, to determine the relative extrema. List only the x-coordinates. Relative maxima at: (Separate multiple answers by commas.) Relative minima at: (Separate multiple answers by commas.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 17E
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NO TE: When using interval notation in WeBWork, remember that:
You use 'INF' for oo and '-INF' for -0.
And use 'U' for the union symbol.
Enter DNE if an answer does not exist.
f(x) = x²e*
a) Determine the intervals on which f is concave up and concave down.
f is concave up on:
f is concave down on:
b) Based on your answer to part (a), determine the inflection points of f. Each point should be entered as an ordered pair (that is, in the form (x, y).
(Separate multiple answers by commas.)
C) Find the critical numbers of f and use the Second Derivative Test, when possible, to determine the relative extrema. List only the x-coordinates.
Relative maxima at:
(Separate multiple answers by commas.)
Relative minima at:
(Separate multiple answers by commas.)
Transcribed Image Text:NO TE: When using interval notation in WeBWork, remember that: You use 'INF' for oo and '-INF' for -0. And use 'U' for the union symbol. Enter DNE if an answer does not exist. f(x) = x²e* a) Determine the intervals on which f is concave up and concave down. f is concave up on: f is concave down on: b) Based on your answer to part (a), determine the inflection points of f. Each point should be entered as an ordered pair (that is, in the form (x, y). (Separate multiple answers by commas.) C) Find the critical numbers of f and use the Second Derivative Test, when possible, to determine the relative extrema. List only the x-coordinates. Relative maxima at: (Separate multiple answers by commas.) Relative minima at: (Separate multiple answers by commas.)
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