$[-/11$ Points$]$

LARCALC$114\mathrm{.}4\mathrm{.}068.$

Let

$g(x)={\displaystyle \underset{0}{\overset{x}{}}}f(t)dt$

where $f$ is the function whose graph is shown in the figure.

$($a$)$ Estimate $g(0),g(2),g(4),g(6),$ and $g(8).$

$g(0)=$

$g(2)=$

$g(4)=$

$g(6)=$

$g(8)=$

$($b$)$ Find the largest open interval on which $g$ is increasing. $($Enter your answer using interval notation.$)$

$$

Find the largest open interval on which $g$ is decreasing. $($Enter your answer using interval notation.$)$

$$

$($c$)$ Identify any extrema of $g.$

$g$ has a $$ of $$ at $x=q,.$

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

Need Help?

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