Question

I have one attempt left for part c

Let g(x) = ( t) dt, where f Is the function whose graph is shown. (a) At what values of x do the local maximum and minimum values of g occur? Xmin (smaller x-value) *min = (larger x-value) (smaller x-value) Xmax = (larger x-value) *max = 3 (b) Where does g attain its absolute maximum value? x = 27 (c) On what interval is g concave downward? (Enter your answer using interval notation.) (0,3) (9,15) (21,27) (d) Sketch the graph of g. 12 18 6 12 18 24 6 12 18 24

Answer 1

we are given

g(x) = f(t)dt

(c)

we can find second derivative

$g'(x)=f(x)$

$g''(x)=f'(x)$

For concave down:

g''(x)<0

so,

we are given graph of f(x)

It means that curve is moving downward

we get

$(1.5,6)\cup (12,18)\cup (24,27)$..........Answer