Use the derivative $f^{\text{'}}(x)=(x-4)(x+1)(x+4)$ to determine the local maxima and minima of $f$ and the intervals of increase and decrease. Sketch a possible graph of $f(f$ 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$.$ B$.$

C$.$ D$.$