Identify the Function's Extreme Values in the Given Domain, and Say

question 145

Multiple Choice

Identify the function's extreme values in the given domain, and say where they are assumed. Tell which of the extreme
values, if any, are absolute.
- $$f ( x ) = \sqrt { 64 - x ^ { 2 } } , - 8 \leq x < 8$$

• A) no local extrema; no absolute extrema
• B) local and absolute minimum: 0 at x = -8; local and absolute maximum: 8 at x = 0
• C) local and absolute minimum: 0 at x = -8 and x = 8; local and absolute maximum: 8 at x = 0
• D) local and absolute maximum: 0 at x = -8; local and absolute minimum: 8 at x = 0