Given the function f(x) = - (x+4) 3, which of the following statement talks about its relative and absolute extrema at interval -4, - 3? Absolute maximum at the point (-4, 0) ; absolute minimum point at A the point (– 3, – 1) ; no relative extrema Relative m aximum rolative the noint mum

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