11.1 - Drawing contour maps

Draw a contour map for each of the following functions:

1. $z=f(x,y) = x+y+1$
2. $z=f(x,y)=y-x^2$

The procedure involves: 1.) Set $z$ to some constant value, say "0". 2.) Solve the resulting equation to find $y(x)$. 3.) Sketch the $y(x)$ you get on a 2-d $y$ vs $x$ coordinate system, and label it with the value of the "height" ($z$) that you used. Repeat this procedure for a total of 3 or 4 $z$ values.