$[0\mathrm{.}2/1$ Points$]$

SCALC$94\mathrm{.}3\mathrm{.}071.$

Let $g(x)={\displaystyle \underset{0}{\overset{x}{}}}f(t)dt,$ where $f$ is the function whose graph is shown.

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$($a$)$ At what values of $x$ do the local maximum values of $g$ occur? $($Enter your answers as a comma$-$separated list.$)$

$x=$

At what values of $x$ do the local minimum values of $g$ occur? $($Enter your answers as a comma$-$separated list.$)$

$x=$

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

$x=$

On what intervals is $g$ concave downward? $($Enter your answer using interval notation.$)$

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$($c$)$ Sketch the graph of $g.$

$y$

y