Given the function f(x) = - (x+4)3, which of the following statement talks about its relative and absolute extrema at interval[-4, – 3]?(A Absolute maximum at the point (-4, 0) ; absolute minimum point at the point (-3, – 1) : no relative extrema(B There are no relative and absolute extrema.C) Absolute and relative maximum at the point (-4, 0) ; absolute and relative minimum at the point (- 3, – 1)D) Relative maximum at the point (-4, 0) ; relative minimum at the point (-3, – 1) ; no absolute extrema

We have to choose the correct answer from the given options according to the given information

Answered: ative and absolute extrema. lative…

Math

Calculus

ative and absolute extrema. lative maximum at the point (-4, 0) ; absolute and relative minimum at the p

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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Question

Given the function f(x) = - (x+4)3, which of the following statement talks about its relative and absolute extrema at interval
[-4, – 3]?
(A Absolute maximum at the point (-4, 0) ; absolute minimum point at the point (-3, – 1) : no relative extrema
(B There are no relative and absolute extrema.
C) Absolute and relative maximum at the point (-4, 0) ; absolute and relative minimum at the point (- 3, – 1)
D) Relative maximum at the point (-4, 0) ; relative minimum at the point (-3, – 1) ; no absolute extrema

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