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Given the graph of $f$ above and $g(x)=\int_0^x{f(t)dt}$, which of the following could be true?

A

$g(a)$ is the absolute maximum value for $g(x)$ on $[0, 8]$.

B

$g(b)$ is the absolute maximum value for $g(x)$ on $[0, 8]$.

C

$g(c)$ is the absolute minimum value for $g(x)$ on $[0, 8]$.

D

$g(8)$ is the absolute minimum value for $g(x)$ on $[0, 8]$.

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