Consider the function f(x) = -2x -3x2 + 36x + 4 on the closed interval (- 5,5]. Identify the inflection point(s) of f(x) and identify intervals with associated concavities. Identify all of the critical points and verify the local/global max/min within the interval. Verify at least one critical point using FDT and at least one critical point using SDT.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Consider the function f(x) = -2x -3x2 + 36x + 4 on the closed interval (-
5,5]. Identify the inflection point(s) of f(x) and identify intervals with associated
concavities. Identify all of the critical points and verify the local/global max/min within
the interval. Verify at least one critical point using FDT and at least one critical point
using SDT.
Transcribed Image Text:Consider the function f(x) = -2x -3x2 + 36x + 4 on the closed interval (- 5,5]. Identify the inflection point(s) of f(x) and identify intervals with associated concavities. Identify all of the critical points and verify the local/global max/min within the interval. Verify at least one critical point using FDT and at least one critical point using SDT.
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