See below: The graph of the first derivative of a function f is shown. (Assume t

Question

See below:

The graph of the first derivative of a function f is shown. (Assume the function is defined only for 0 le x le 9.) On what interval(s) is f increasing? (Enter your answer using interval notation.) At what value(s) of x does f have 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.) x = 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-coordinate(s) of the inflection point of f? (Enter your answers as a comma-separated list.) x =

Explanation / Answer

a)

(2,4) U (6,9)

b)

local maximum at:

x = 4

local minimum at:

x = 2 , 6

c)

concave upward:

(1,3) U (5,7)

concave downward:

(3,5) U (7,8)

d)

inflextion points:

x = 1,3,5,7,8

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