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local max and min? intervals where it concaves up and down? et The graph of the

ID: 2879260 • Letter: L

Question

local max and min?

intervals where it concaves up and down? et

The graph of the first derivative f of a function f' of a shown. (Assume the function is defined only for 0 lessthanorequalto x lessthanorequalto 9.) (a) On what interval(s) is f increasing? (Enter your answer using interval notation.) (2, 4) (6, 9) (b) At what value(s) of x does f have a local maximum? (Enter your answers as a comma-separated list.) x = 3, 7 At what value(s) of x does f have a local minimum? (Enter your answers as a comma-separated list.) (c) 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.) (9, infinity)

Explanation / Answer

(b). local maximum at x=4    local minimum at x =2,6
(c) (3,5)
(d) (1,3)U(5,7)