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 There are no relative and absolute extrema. Absolute and relative maximum at the point (-4, 0) ; absolute and relative minimum at the point В (-3, – 1) Absolute maximum at the point (-4, 0) ; absolute minimum point at the point (-3, – 1) ; no relative extrema Relative maximum at the point (-4, 0) ; relative minimum at the point (-3, - 1) ; no absolute extrema

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
There are no relative and absolute extrema.
Absolute and relative maximum at the point (-4, 0) ; absolute and relative minimum at the point
В
(-3, – 1)
Absolute maximum at the point (-4, 0) ; absolute minimum point at the point (-3, – 1) ; no relative
extrema
Relative maximum at the point (-4, 0) ; relative minimum at the point (-3, - 1) ; no absolute extrema
Transcribed Image Text: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 There are no relative and absolute extrema. Absolute and relative maximum at the point (-4, 0) ; absolute and relative minimum at the point В (-3, – 1) Absolute maximum at the point (-4, 0) ; absolute minimum point at the point (-3, – 1) ; no relative extrema Relative maximum at the point (-4, 0) ; relative minimum at the point (-3, - 1) ; no absolute extrema
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