Identify the Function's Local and Absolute Extreme Values, If Any $$g ( x ) = \frac { x ^ { 4 } } { 4 } - \frac { 7 } { 3 } x ^ { 3 } + 7 x ^ { 2 } - 8 x - 4$$

Multiple Choice

Identify the function's local and absolute extreme values, if any, saying where they occur.
- $$g ( x ) = \frac { x ^ { 4 } } { 4 } - \frac { 7 } { 3 } x ^ { 3 } + 7 x ^ { 2 } - 8 x - 4$$

A) local maxima at x = 1 and x = 4; local minimum at x = 2
B) local maxima at x = -1 and x = -4; local minimum at x = 2
C) local maximum at x = 1; local minimum at x = 4
D) local maximum at x = 2; local minima at x = 1 and x = 4