Let g ( x ) = , where f is the function whose graph is shown. (a) Evaluate g (0)

Question

Let g(x) =

, where f is the function whose graph is shown.

(a) Evaluate g(0), g(3), g(6), g(9) and g(18).

(b) On what interval is g increasing?
(  ,  )

(c) Where does g have a maximum value?
x =  

The graph of a function f is given.

s = 6

Consider the function below when answering the following questions.

(a) At what values of x do the local maximum and minimum values of g occur? (Enter solutions from smallest to largest. If there are any unused answer boxes, enter NONE in the last boxes.)

(b) Where does g attain its absolute maximum value?
x =  

(c) On what intervals is g concave downward? (Enter the intervals that contain smaller numbers first.)
(  ,  ) ?
(  ,  ) ?
(  ,  )

Explanation / Answer

a) g(0)=0

g(3)=18

g(6)=45

g(9)=63

g(18)=18

b) (0,9)

c) x=9

a) xmin1=s

xmin2=3s

xmax1=2s

xmax2=4s

b) x=4s

c) (.25s, .5s) u (2s, 2.5s) u (4s, 4.5s)

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