# Trace $$g(x)$$

Calculus Level 3

$\large \displaystyle g(x)= \int_0^x f(t) \, dt$

Let $$g$$ and $$f$$ be two real-valued functions satisfying the condition given above. The function $$f$$ has a real root on $$[-1,1]$$ and is also strictly increasing on this interval.

What can be said about $$g$$ in the given interval?

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