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 $x = 4$

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The Answer of 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 $x = 4$

Find the Absolute Extreme Values of the Function on the Interval