Find the Absolute Extreme Values of the Function on the Interval

Multiple Choice

Find the absolute extreme values of the function on the interval.
- $$g ( x ) = - x ^ { 2 } + 7 x - 12,4 \leq x \leq 3$$

A) absolute maximum is $\frac { 1 } { 4 }$ at $x = \frac { 9 } { 2 } ;$ absolute minimum is 0 at 3 and 0 at $x = 4$
B) absolute maximum is $\frac { 97 } { 4 }$ at $x = \frac { 7 } { 2 }$ ; absolute minimum is 0 at 3 and 0 at $x = 4$
C) absolute maximum is $\frac { 1 } { 4 }$ at $x = \frac { 7 } { 2 }$ ; absolute minimum is 0 at 3 and 0 at $x = 4$
D) absolute maximum is $\frac { 5 } { 4 }$ at $x = \frac { 9 } { 2 }$ ; absolute minimum is 0 at 3 and 0 at $x = 4$