# Thread: Contour diagram of a multivariable function

1. ## Contour diagram of a multivariable function

Hello again. Having trouble mapping the contour or the function f(x,y)=$\displaystyle \exp(y-x)$ I know i have to find range, which will be all positive values. but how exactly do I represent it on the x-y plane. And how to show level curves. Help on this will be very much appreciated
Thanks

2. Well, you could always set $\displaystyle e^{y-x}=C,$ where $\displaystyle C$ is a positive constant. That implies $\displaystyle y-x=\ln(C).$ Surely you can graph that?