The graph of the first derivative f\' of a function f is shown. (Assume the func

Question

The graph of the first derivative f' of a function f is shown. (Assume the function is defined only for 0 x 9.) On what intervals(s) is f increasing ?(Enter your answer using interval notation.) At what value(s) of x does f have a local maximum? (Enter your answer as a common-separated list.) On what interval(s) is f concave upward ?(Enter your answer using using interval notation.) on what interval(s) is f concave upward? (Enter your answer using interval notation.) on what interval(s) is f concave downward? (Enter your answer using interval notation.) what are the x-coordinates(s) of the inflection point of f? (enter your answer as a comma-separated list.)

Explanation / Answer

increases from (2,4) and from (6,infinity) decreases from (0,2)(4,6) max at x=2 and x=6 min at and x=4 Concave up on where f'(X) slope is postive concave up: (1,3) (5,7) (8,infinity) concave down: (0,1) (3,5)(7,8) Inflection points happen when the second derivative is 0, and the second derivative is the slope of the first derivative, so find place(s) where the first derivative has a slope of zero. at x=1, 3, 5 ,7 ,8

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