This demo shows some contours for the function f(x,y)= x2 - y2. The
contours consist of contour curves f(x,y) = c, and you can view them on
the function graph in the "Function Graph: f(x,y)" window.
In the "Domain: f(x,y)" window, we show the contour curves projected
down into the xy-plane without actually displaying the function graph.
This is called a "contour map", and it will prove to be very useful to
look at in analyzing function graphs of functions f depending on more
than two variables.
Actually, it is quite possible to view contours without being able to
look at the graph itself, and this can already give a lot of
information about the function. (Check out the corresponding lab for
three dimensions!!)