Find the Absolute Extreme Values of the Function on the Interval

Multiple Choice

Find the absolute extreme values of the function on the interval.
- $$g ( x ) = 9 - 8 x ^ { 2 } , - 2 \leq x \leq 3$$

A) absolute maximum is 9 at $x = 0$ ; absolute minimum is $- 63$ at $x = 3$
B) absolute maximum is 8 at $x = 0$ ; absolute minimum is $- 81$ at $x = 3$
C) absolute maximum is 72 at $x = 0$ ; absolute minimum is $- 23$ at $x = - 2$
D) absolute maximum is 18 at $x = 0$ ; absolute minimum is $- 23$ at $x = 3$