Sketch the graph of an arbitrary function satisfying the given conditions. State whether the function has

Sketch the graph of an arbitrary function ƒ satisfying the given conditions. State whether the function has any extrema or saddle points. (There are many correct answers.)

 

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f(0, 0) = 0, f(0, 0) = 0 < 0, x < 0 y < 0 > 0, x > 0' y > 0 fxx (x, y) > 0, fyy (x, y) < 0, and f(x, y) = 0 for all (x, y). f(x, y){ > 0, f₂(x, y){ < 0,