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Points] SCALC8 4.3.066. Let

`g(x)=\int_0^x f(t)dt`

, where

`f`

is the function whose graph is shown. v

`◻`

(a) At what values of

`x`

do the local maximum and minimum values of

`g`

occur?

`x_(min)=`

`◻`

* (smaller

`x`

-value)

`x_(min )=`

`◻`

`x`

(larger

`x`

-value)

`x_(max)=`

`q,`

X (smaller

`x`

-value)

`x_(max)=`

`◻`

`x`

(larger

`x`

-value) (b) Where does

`g`

attain its absolute maximum value?

`x=`

`◻`

(c) On what interval is

`g`

concave downward? (Enter your answer using interval notation.)

`◻`

(d) Sketch the graph of

`g`

.

`y`

`y`