Determine whether the Mean Value theorem can be applied to $f$ on the closed interval $a,b.($Select all that apply.$)$

$f(x)=\frac{x+2}{x-1},[-3,3]$

Yes, the Mean Value theorem can be applied.

No$,f$ is not continuous on $a,b.$

No$,f$ is not differentiable on $(a,b).$

None of the above.

If the Mean Value theorem can be applied, find all values of $c$ in the open interval $(a,b)$ such that $f^{\text{'}}(c)=\frac{f(b)-f(a)}{b-a}.($Enter your answers as a comma$-$separated list. If the Mean Value theorem cannot be applied, enter NA$.)$

$c=$

$$