Determine the location and value of the absolute extreme values of f on the given interval, if they exist. f(x) = 4 sin 2x on [0,x]

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 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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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) = 4 sin?x on [0,T]
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
(Type an exact answer, using t as needed. Use a comma to separate answers as needed.)
O A. The absolute minimum is
but there is no absolute maximum.
at x =
O B. The absolute maximum is
at x =
but there is no absolute minimum.
O C. The absolute minimum is
and the absolute maximum is
at x =
at x=
O D. There are no absolute extreme values for f(x) on [0,1].
Transcribed Image Text:Determine the location and value of the absolute extreme values of f on the given interval, if they exist. f(x) = 4 sin?x on [0,T] Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. (Type an exact answer, using t as needed. Use a comma to separate answers as needed.) O A. The absolute minimum is but there is no absolute maximum. at x = O B. The absolute maximum is at x = but there is no absolute minimum. O C. The absolute minimum is and the absolute maximum is at x = at x= O D. There are no absolute extreme values for f(x) on [0,1].
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