For the function
$f(x) = \begin{cases} 144 - x^2 & \text{if } -12 \le x < 0, \\ 5x - 2 & \text{if } 0 \le x \le 12, \end{cases}$
find the absolute and local maximum and minimum.
Absolute maximum:
Absolute minimum:
Local maximum:
Local minimum:
If a maximum or minimum does not exist, enter none.
(It may be helpful to sketch the graph of $f$ by hand first.)
