Use the derivative $f^{\text{'}}(x)=x^2(x-3)(x+1)$ to determine the local maxima and minima of $f$ and the intervals of increase and decrease. Sketch a possible graph of is not unique$).$

The local maximum$/$maxima is$/$are at $x=$

$($Use a comma to separate answers as needed.$)$

The local minimum$/$minima is$/$are at $x=$

$($Use a comma to separate answers as needed.$)$

The interval$($s$)$ of increase is$/$are

$($Type your answer in interval notation. Use a comma to separate answers as needed.$)$

The interval$($s$)$ of decrease is$($are$)$

$($Type your answer in interval notation. Use a comma to separate answers as needed.$)$

Which is a possible graph of $f?$

A$.$

A$.$

B$.$

B$.$

c$.$