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Given the table of values of a continuous, differentiable function $f(x)=xsin(x)+x$:

$\ $Which statement is correct based on the Mean Value Theorem?

The point $(0,0)$ must be on the curve.

A value of $x=c$ exists on $[-2,2]$ such that $f'(c)=0.674$.

A value of $x=c$ exists on $[-2,2]$ such that $f(c)=1$.

A value of $x=c$ exists on $[-2,2]$ such that $f'(c)=1$.