P. Thompson
MTED 2800/3900
Fall 2004
Bivariate Assignment #1
Do this for each of the following functions: (1) Predict what the function's graph will look like in the domain x: 3 ... 3, y: 3 ... 3; (2) Test your prediction; (3) Explain discrepancies between your prediction and the actual graph.
(a) z = x^{2}  y^{3}
(b) z = cos(x) sin(y)
(c) z = x e^{sin(y)}
Define functions that produce graphs similar to the ones shown on the attached pages (i.e., a function for each graph).
Please take special care to write up your emerging understandings soon after they emerge. Don't wait until you're finished to try to reconstruct your thoughts.
1.  x: 2 ... 2; y: 2 ... 2 
2.  x: 2 ... 2, y: 2...2 
3.  x: 2 ... 2; y: 2 ... 2 
4.  x: 3 ... 3; y: 3 ... 3 
5. 
(This graph is a cone) 
x: 2 ... 2; y: 2 ... 2 
6.  x: 3 ... 3; y: 3 ... 3
(Pay attention to curvature!) 

7. 