NOTE: When using interval notation in WeBWorK, remember that: You use 'INF' for ∞ and '-INF' for -∞. And use 'U' for the union symbol. Enter DNE if an answer does not exist. f(x) = -2.5x25x +4 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)). -1 (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: DNE (Separate multiple answers by commas.) Relative minima at: DNE (Separate multiple answers by commas.)
NOTE: When using interval notation in WeBWorK, remember that: You use 'INF' for ∞ and '-INF' for -∞. And use 'U' for the union symbol. Enter DNE if an answer does not exist. f(x) = -2.5x25x +4 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)). -1 (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: DNE (Separate multiple answers by commas.) Relative minima at: DNE (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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Transcribed Image Text:NOTE: When using interval notation in WeBWorK, remember that:
You use 'INF' for ∞ and '-INF' for -∞.
And use 'U' for the union symbol.
Enter DNE if an answer does not exist.
f(x) = -2.5x25x +4
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)).
-1 (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: DNE (Separate multiple answers by commas.)
Relative minima at: DNE (Separate multiple answers by commas.)
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