(Solved): The table gives selected values of the differentiable function h. Can we use the Mean Value Theorem ...

The table gives selected values of the differentiable function $h$. Can we use the Mean Value Theorem to say the equation $h^{?}(x)=2$ has a solution where $?4<x<?3$ ? No, since the average rate of change of $h$ over the interval $?4?x??3$ isn't equal to 2 . Yes, both conditions for using the Mean Value Theorem have been met. No, since we don't know if $h$ is continuous over the interval $?4?x??3$.