Determine whether the Mean Value theorem can be applied to f on the closed interval

$[$a$,$ b$].$

$($Select all that apply.$)$

f$($x$)=$

x $+5/$x $1,[6,6]$

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$($c$)=$

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 $=$