SCalcET$94\mathrm{.}2\mathrm{.}017.$

Does the function satisfy the hypotheses $of$ the Mean Value Theorem $on$ the given interval?

$f(x)=ln(x),[1,6]$

Yes, $it$ does not matter $iffis$ continuous $or$ differentiable, every function satisfies the Mean Value Theorem.

Yes, $fis$ continuous $on1,6$ and differentiable $on(1,6).$

$No,fis$ not continuous $on1,6.$

$No,fis$ continuous $on1,6$ but not differentiable $on(1,6).$

There $is$ not enough information $to$ verify $if$ this function satisfies the Mean Value Theorem.

$c=$