ical numbers r = -1 and x = 2 are found from a continuous derivative the second derivative is f"(x) = (x - 3)(x - 5), what does the secom about what happens at the critical numbers, if anything? a points at x = -1 and x = 2 nimum at x = -1; inconclusive at x = 2 sive at x = -1; local maximum at x = 2 2; no local maximums imums at x = -1 and I = imum at x = -1; local maximum at x = 2 imum at z = 2; local maximum at x = -1 minimums; local maximums at x = -1 and r = 2

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.2: Polynomial Functions
Problem 96E: What is the purpose of the Intermediate Value Theorem?
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Needed to be solved This Multiple choice question 30 correctly Please let me know the right solution please
The critical numbers r = -1 and 2 = 2 are found from a continuous derivative
(2). Given that the second derivative is f"(x) = (x - 3)(x - 5), what does the second
derivative test say about what happens at the critical numbers, if anything?
O inflection points at x = -1 and x = 2
local minimum at x = -1; inconclusive at x = 2
O inconclusive at x = -1; local maximum at x = 2
local minimums at x = -1 and x = 2; no local maximums
O local minimum at x = -1; local maximum at x = 2
local minimum at z = 2; local maximum at x = -1
no local minimums; local maximums at x = -1 and x = 2
Transcribed Image Text:The critical numbers r = -1 and 2 = 2 are found from a continuous derivative (2). Given that the second derivative is f"(x) = (x - 3)(x - 5), what does the second derivative test say about what happens at the critical numbers, if anything? O inflection points at x = -1 and x = 2 local minimum at x = -1; inconclusive at x = 2 O inconclusive at x = -1; local maximum at x = 2 local minimums at x = -1 and x = 2; no local maximums O local minimum at x = -1; local maximum at x = 2 local minimum at z = 2; local maximum at x = -1 no local minimums; local maximums at x = -1 and x = 2
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