Determine the location and value of the absolute extreme values of f on the given interval, if they exist. f(x) = 3x° e -X; [- 1,6]

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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Determine the location and value of the absolute extreme values of f on the given interval, if they exist.
f(x) = 3x° e -*;[- 1,6]
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
(Type exact answers. Use a comma to separate answers as needed.)
O A. The absolute maximum is
at x =
but there is no absolute minimum.
B. The absolute maximum is
at x =
and the absolute minimum is
at x =
C. The absolute minimum is
at x =
but there is no absolute maximum.
O D. There are no absolute extreme values for f(x) on [- 1,6].
Transcribed Image Text:Determine the location and value of the absolute extreme values of f on the given interval, if they exist. f(x) = 3x° e -*;[- 1,6] Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. (Type exact answers. Use a comma to separate answers as needed.) O A. The absolute maximum is at x = but there is no absolute minimum. B. The absolute maximum is at x = and the absolute minimum is at x = C. The absolute minimum is at x = but there is no absolute maximum. O D. There are no absolute extreme values for f(x) on [- 1,6].
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