Identify the Function's Local and Absolute Extreme Values, If Any $$f ( x ) = x ^ { 3 } + 12 x ^ { 2 } + 48 x + 4$$

Multiple Choice

Identify the function's local and absolute extreme values, if any, saying where they occur.
- $$f ( x ) = x ^ { 3 } + 12 x ^ { 2 } + 48 x + 4$$

A) local maximum at x = -4
B) no local extrema
C) local maximum at x = -4; local minimum at x = 4
D) local minimum at x = -4