The graph of the derivative f'of a function f over the interval (0, 6) is shown. y y = f '(x) 4 6 8. (a) What are the critical numbers of f in the interval (0, 6)? (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) X = (b) On what interval is f increasing? On what intervals is f decreasing? (Enter your answer using interval notation. If an answer does not exist, enter DNE.) Increasing: Decreasing: At what values of x does fa relative maximum value? A relative minimum value? (Enter your answers as a comma-separated list. If an answer does not exist, (c) enter DNE.) f has a relative maximum value at x = f has a relative minimum value at x = On what interval is f concave upward? On what intervals is f concave downward? (Enter your answer using interval notation. If an answer does not exist, enter (d) DNE.) Concave upward: Concave downward: (e) What are the x-coordinate(s) of the inflection points of f? (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) X =

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