Question

Please help Pre Cal, I understand that you must involve slope within this equation

Answer 1

The function is increasing for:

$(-\infty,-4)\cup(4,\infty)$

And the function is decreasing for:

$(-4,4)$

The local maximum (or minimum) occurs when there may be higher (or lower) points elsewhere but not nearby.

Therefore, the local maximum of the function is:

$(-4,128)$

And the local minimum of the function is:

$(4,-128)$