Identify the Function's Local and Absolute Extreme Values, If Any $$f ( x ) = \sqrt { x ^ { 2 } + 16 x + 128 }$$

Multiple Choice

Identify the function's local and absolute extreme values, if any, saying where they occur.
- $$f ( x ) = \sqrt { x ^ { 2 } + 16 x + 128 }$$

A) absolute maximum: 8 at x = -8
B) absolute minimum: 8 at x = -8
C) relative minimum: 8 at x = -8; relative maximum: -8 at x = 8
D) no local extrema