Use the derivative f' to determine the local minima and maxima of f and the intervals of increase and decrease. Sketch a possible graph of f (f is not unique). f'(x) = 8 sin 2x on [- 2x,21] The local minimum/minima is/are at x = (Use a comma to separate answers as needed. Type an exact answer, using n as needed.) The local maximum/maxima is/are at x = (Use a comma to separate answers as needed. Type an exact answer, using n as needed.) Find the intervals of increase and decrease of f. Choose the correct answer below. 3n -2n, - fis decreasing on -T, - and T, f is increasing on and 2n 2 3n 2n, - 3n and 1, 2 f is increasing on - T, - - f is decreasing on 2 and 2n 2 Sketch a possible graph of f. Choose the correct graph below.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.2: Polynomial Functions
Problem 96E: What is the purpose of the Intermediate Value Theorem?
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Use the derivative f' to determine the local minima and maxima of f and the intervals of increase and decrease. Sketch a possible graph of f (f is not unique).
f'(x) = 8 sin 2x on [- 2n,27]
The local minimum/minima is/are at x=
(Use a comma to separate answers as needed. Type an exact answer, using n as needed.)
The local maximum/maxima is/are at x =
(Use a comma to separate answers as needed. Type an exact answer, using n as needed.)
Find the intervals of increase and decrease of f. Choose the correct answer below.
3n
f is decreasing on
·2π,-
- T, -
and T,
3n
f is increasing on
and
2n
2
2
f is increasing on
3n
- 2n, -
3n
and T,-
– T, -
2
3n
3n
f is decreasing on
and
,2n
2
2
Sketch a possible graph of f. Choose the correct graph below.
Transcribed Image Text:Use the derivative f' to determine the local minima and maxima of f and the intervals of increase and decrease. Sketch a possible graph of f (f is not unique). f'(x) = 8 sin 2x on [- 2n,27] The local minimum/minima is/are at x= (Use a comma to separate answers as needed. Type an exact answer, using n as needed.) The local maximum/maxima is/are at x = (Use a comma to separate answers as needed. Type an exact answer, using n as needed.) Find the intervals of increase and decrease of f. Choose the correct answer below. 3n f is decreasing on ·2π,- - T, - and T, 3n f is increasing on and 2n 2 2 f is increasing on 3n - 2n, - 3n and T,- – T, - 2 3n 3n f is decreasing on and ,2n 2 2 Sketch a possible graph of f. Choose the correct graph below.
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