Let

and

$g(x)={\displaystyle \underset{-5}{\overset{x}{}}}f(t)dt$

Determine the value of each of the following:

$($a$)g(-9)=$

$($b$)g(-4)=$

$$

$($c$)g(0)=$

$($d$)g(6)=$

$($e$)$ The absolute maximum of $g(x)$ occurs when $x=(1)$ and is the value $$

It may be helpful to make a graph of $f(x)$ when answering these questions.