Find the absolute and local extrema of $f(x) = \begin{cases} 4 - x^2 & -2 \le x < 0 \\ x - 2 & 0 \le x \le 3 \end{cases}$. (If an answer does not exist, enter DNE.)
absolute maximum
$(x, y) = ( DNE )$
absolute minimum
$(x, y) = ( )$
local maximum
$(x, y) = ( DNE )$
local minimum
$(x, y) = ( )$