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Given the graph of $f$ above (consisting of a triangle and semicircle) and $g(x)=\int_{-4}^{x}{f(t)dt}$, for what interval is $g(x)$ increasing?

A

$(-4, 0)$

B

$(-2, 4)$

C

$(0, 8)$

D

$(0, 4)$

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