Determine whether the Mean Value Theorem applies for the function over the given interval $a,b.$ Justify your answer.

$(Select$ all that apply.$)$

$y=ln(2x+7)$ over $-\frac{7}{2},0$

The Mean Value Theorem does apply.

The Mean Value Theorem does not apply since the $f(a)$ does not exist.

The Mean Value Theorem does not apply since the function $is$ not differentiable $at$ a point.

The Mean Value Theorem does not apply since the function $is$ discontinuous $at$ a point.

The Mean Value Theorem does not apply since the $f(b)$ does not exist.