Find the Absolute Maxima and Minima of the Function on the Given

Multiple Choice

Find the absolute maxima and minima of the function on the given domain.
- $$f ( x , y ) = x ^ { 2 } + x y + y ^ { 2 } \text { on the square } - 8 \leq x , y \leq 8$$

A) Absolute maximum: 192 at (8, 8) and (-8, -8) ; absolute minimum: 0 at (0, 0)
B) Absolute maximum: 64 at (8, -8) and (-8, 8) ; absolute minimum: 48 at - 4, 8 , 4, -8 , 8, - 4 , and -8, 4
C) Absolute maximum: 64 at (8, -8) and (-8, 8) ; absolute minimum: 0 at (0, 0)
D) Absolute maximum: 192 at (8, 8) and (-8, -8) ; absolute minimum: 64 at (8, -8) and (-8, 8)