$[2/8$ Points$]$

SCALCET$95\mathrm{.}3\mathrm{.}003.$

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

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

$g(0)=$

$g(3)=$

$g(6)=$

$g(9)=$

$g(18)=$

$($b$)$ On what interval is $g$ increasing? $($Enter your answer using interval notation.$)$

$($c$)$ Where does $g$ have a maximum value?

$x=1$

$($d$)$ Sketch a rough graph of $g.$