Identify the Function's Local and Absolute Extreme Values, If Any $$f ( x ) = x ^ { 3 } + 2.5 x ^ { 2 } + 2 x - 3$$

Multiple Choice

Identify the function's local and absolute extreme values, if any, saying where they occur.
- $$f ( x ) = x ^ { 3 } + 2.5 x ^ { 2 } + 2 x - 3$$

A) local maximum at $x = - 1$ ; local minimum at $x = - \frac { 2 } { 3 }$
B) local maximum at $x = - \frac { 1 } { 3 }$ ; local minimum at $x = - 2$
C) local maximum at $x = 2$ ; local minimum at $x = \frac { 1 } { 3 }$
D) local maximum at $x = \frac { 2 } { 3 }$ ; local minimum at $x = 1$