Find the Absolute Extreme Values of the Function on the Interval

Find the absolute extreme values of the function on the interval.
- $$g ( x ) = 6 - 7 x ^ { 2 } , - 4 \leq x \leq 5$$

A) absolute maximum is 12 at $x = 0$ ; absolute minimum is $- 106$ at $x = 5$
B) absolute maximum is 6 at $x = 0$ ; absolute minimum is $- 169$ at $x = 5$
C) absolute maximum is 7 at $x = 0$ ; absolute minimum is $- 181$ at $x = 5$
D) absolute maximum is 42 at $x = 0$ ; absolute minimum is $- 106$ at $x = - 4$