Question

graph the contour of f(x,y) = sqrt(y^2-x^2)

Answer 1

this should look something like a hyperbola in the x-y plane.

when y=x or y= -x, the function is 0.

then where |y| > |x|, the function will be positive (z > 0)

and where |y| < |x| the function will be negative (z < 0).

does this make any sense?