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 extremaB) There are no relative and absolute extrema.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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-, 0) ; absolute minimum point at the point (-3, rema. e point (-4, 0) ; absolute and relative minimum a

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.
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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