Let g$($x$)=\backslash$int$\_0^$x f$($t$)$dt$,$ where f is the function whose graph is shown. Use the graph to answer the following questions.

$($a$)$ Evaluate g$($x$)$ for x$=0,2,4,6,8,$ and $10.$

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

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

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

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