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Use the given graph of the derivative f\' of a continuous function f over the in

ID: 3288931 • Letter: U

Question


Use the given graph of the derivative f' of a continuous function f over the interval (0, 9) to find the following.



(a) On what interval(s) is f increasing? (Enter your answer using interval notation.)

(b) On what interval(s) is f decreasing? (Enter your answer using interval notation.)

(c) At what value(s) of x does f have a local maximum? (Enter your answers as a comma-separated list.)

(d) At what value(s) of x does f have a local minimum? (Enter your answers as a comma-separated list.)

(e) On what interval(s) is f concave upward? (Enter your answer using interval notation.)

(g) What are the x-coordinate(s) of the inflection point(s) of f? (Enter your answers as a comma-separated list.)


Explanation / Answer

a) (1,6) and (8,9)


b) (0,1) and (6,8)


c) x = 6


d) x = 1 and x = 8


e) (0,2) and (3,5) and (7,9)


f) (2,3) and (5,7)


g) x = 2,3,5,7

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