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 0sxs 9.) y-f (x) 0 7 (a) On what interval(s) is f increasing? (Enter your answer using interval notation.) (b) At what value(s) of x does fhave a local maximum? (Enter your answers as a comma-separated list.) x= 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 fconcave upward? (Enter your answer using interval notation.) On what interval(s) is fconcave downward? (Enter your answer using interval notation.) (d) What are the x-coordinate(s) of the inflection point of f? (Enter your answers as a comma-separated list.)

Explanation / Answer

a)

Increasing from (1 to 3) , (5 to 7) & ( 8 to 9 ).

b)

at X = 3 & X= 7 local max

at X = 1 & X = 5 local min

C) concave up

(0 to 2) , (4 to 6) , (7 to 9)

Concave down

(2 to 4), (6 to 8)

d)

X= 2, 4,6

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