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)`