Find all relative extrema for the function, and then match the equation to its graph.
z = -x4 + y4 + 2x2 - 2y2 + 

A. Relative maxima of   at (1, 1) and
 at (-1, -1); saddle point at (0, 0)

B. Relative minima of -  at (0, 1) and 
at (0, -1); saddle point at (0, 0)

C. Saddle points at (0, 0), (-1, 1), (1, -1), (1, 1),
and (-1, -1)

D. Relative maxima of   at (-1, 1) and
 at (1, 1)


Answer: C

Mathematics

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