Find the Absolute Extreme Values of the Function on the Interval

Multiple Choice

Find the absolute extreme values of the function on the interval.
- $$f ( x ) = - 4 e ^ { - x ^ { 2 } } , - \infty < x < \infty$$

A) Minimum value is $- 4$ at $x = 0$ ; no maximum value
B) Maximum value is $- 4$ at $x = 0$ ; minimum value
C) No minimum value and no maximum value
D) Minimum value is $- 4$ at $x = 0$ ; maximum value is $- \frac { 4 } { \mathrm { e } }$ at $x = 1$