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The graph of the derivative f' of a function is shown.
The graph of the derivative f' of a function is shown. X 2. 4 6 8 10 12
(a) on what interval is increasing? (Enter your answer using interval notation.)
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On what intervals is decreasing? (Enter your answer using interval notation)
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(b) At what values of x does have a local maximum or minimum? (Enter your answers as a comma-separated list.)
x= ___
a)The function isincreasingon these following intervals: (0,1), (3,5).b)The function isdecreasingon these following intervals: (1,3) and (5,6).c)Theextremasare given as follows:x = 1: local maximum.x = 3: local minimum.x = 5: local maximum.How to define where the function is increasing and decreasing?The function isincreasingwhen the derivative ispositive, hence the intervals are given as follows:(0,1) and (3,5).The function isdecreasingwhen the derivative isnegative, hence the intervals are given as follows:(1,3) and (5,6).Therelative extremasare the values for which the derivative is of zero, hence:x = 1: local maximum, as the function changes from increasing to decreasing.x = 3: local minimum, as the function changes from decreasing to increasing.x = 5: local maximum, as the function changes from increasing to decreasing.Missing InformationThe graph of the derivative is given by the image presented at the end of the answer.More can be learned about theextremas of a functionatbrainly.com/question/17887946#SPJ1...