Identify the Function's Local and Absolute Extreme Values, If Any $$f ( x ) = \sqrt { x ^ { 2 } + 12 x + 72 }$$

Multiple Choice

Identify the function's local and absolute extreme values, if any, saying where they occur.
- $$f ( x ) = \sqrt { x ^ { 2 } + 12 x + 72 }$$

A) relative minimum: 6 at x = -6; relative maximum: -6 at x = 6
B) absolute maximum: 6 at x = -6
C) no local extrema
D) absolute minimum: 6 at x = -6