Let $g(x)={\displaystyle \underset{0}{\overset{x}{}}}f(t)dt,$ for $x$ in the interval $0,7$ and where $f$ is the function whose graph is shown below:

$($b$)$ Write a formula for $g(x)$ valid for any $g(x)=g(7)g(7)$~~$xgxgx=2$

$g(x)=$

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$(c)$ Estimate $g(7).$

$g(7)$~~

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$(d)At$ what value $ofx$ does $g$ attain its maximum?

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$(e)At$ what value $ofx$ does $g$ attain its minimum?

$x=$

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