Identify the Function's Local and Absolute Extreme Values, If Any $$f ( x ) = - x ^ { 3 } - 1.5 x ^ { 2 } + 18 x - 2$$

Multiple Choice

Identify the function's local and absolute extreme values, if any, saying where they occur.
- $$f ( x ) = - x ^ { 3 } - 1.5 x ^ { 2 } + 18 x - 2$$

A) local maximum at $x = - 3$ ; local minimum at $x = 2$
B) local maximum at $x = 3$ ; local minimum at $x = - 2$
C) local maximum at $x = 2$ ; local minimum at $x = - 3$
D) local maximum at $x = - 2$ ; local minimum at $x = 3$