Let $f$ be the function given by $f(x)=\frac{x}{(x-5)(x2)}$ on the closed intervat $\{-7,7\},$ of the following intervals, on which can the Mean Value Theorem be applied to $f?$

$\{-1,3\}$ because $f$ is continuous on $-1,3$ and differentiable on $(-1,3).$

II$.5,7$ because $f$ is continuous on $5,7$ and differentiable on $(5,7).$

III. $\{1,5\}$ because $f$ is continuous on $\{1,5\}$ and differentiable on $(1,5).$