1 point) The given graph of the derivative f\' of a function f is shown. Answer

Question

1 point) The given graph of the derivative f' of a function f is shown. Answer the following questions only on the interval (-6,6) 1. On what intervals is f increasing? Enter your answer as an interval or a list of intervals (e g (-1,3) or (-1,3), (4,6)) Answer (in interval notation) 2. On what intervals is /decreasing? Enter your answer as an interval or a ist of intervals (e g. (-1,3) or (-1,3), (4,6) 2. On what intervals is f decreasing? Enter your answer as an interval or a lis Answer (in interval notation) 3. At what values of z does f have a local maximum? Answer (separate by commas) z 4. At what values of a does f have a local minimum? Answer (separate by commas) z

Explanation / Answer

Part(a):

The function is increasing where the f'(x) is +ve.

f'(x) is +ve in the following intervals

(-6, 5), (-3, -1), (1, 3), (5, 6)

Part(b):

The function is decreasing where the f'(x) is -ve.

f'(x) is -ve in the following intervals

(-5, -3), (-1, 1), (1, 3), (3, 5)

Part(c):

at a maximum, f '(x) changes sign from + to ?

This happens at

x = -5, -1, 3

Part(d):

at a minimum, f '(x) changes sign from - to +

This happens at

x = -3, 1, 5

I hope this answer helps.
Thanks.

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