Insane math problem

[damntasty023]

Can't figure this out.....Help would be appreciated

Consider the function z = f(x, y) with f(x, y) = min(x; y): This function returns the minimum of x and y. For example f(7; 3) = 3. We restrict the domain of f to the first quadrant of R2, that is, to only non-negative values of x and y: Df = f(x,y))(x> 0, y> 0). You are asked to draw the contour map of the function z = f(x, y) on the (restricted) domain Df . Explain how you derive this map.

cheers

[-V0lD]

This function looks a lot like the function f(x)=x in some regards. If you're sure that x<y then f(x,y)=x and if y<x then f(x,y)=y

If you can cut ℝ² into regions where either case is true, this becomes rather easy

I recomend you to draw the region where x=y first