extrema if they exist, as well as all values of $x$ where they occur, for the function $f(x)=x^3-12x^2+36x+4$ on the domain $0,9.$

Identify the absolute$.$minimum if it exists, as well as all values of $x$ where it occurs. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice

A$.$ The absolute minimum is which occurs at $x=6.$

$($Round the absolute minimum to two decimal places as needed. Type an exact answer for the value of $x$ where the minimum occurs. Use a comma to separate answers as needed.$)$

B$.$ There is no absolute minimum.

Identify the absolute maximum if it exists, as well as all values of $x$ where it occurs. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice

A$.$ The absolute maximum is which occurs at $x=2.$

$($Round the absolute maximum to two decimal places as needed. Type an exact answer for the value of $x$ where the maximum occurs. Use a comma to separate answers as needed.$)$

B$.$ There is no absolute maximum.