2315-The Graph of a Function of Two Variables.sagews

The Graph of a Function of Two Variables

$f(x, y) = sin(x^2 - y)$.

x, y = var('x,y')
plot3d(sin(x^2 - y), (x, -5, 5), (y, -6, 6), color='brown')

The Graphs of Two Functions of Two Variables

The graph of $f(x, y) = x^2 + y^2$ is in blue.

The graph of $g(x, y) = 2x + 3y$ is in green.

x, y = var('x,y')
P = plot3d(2*x + 3*y, (x,-2,2), (y,-2,2), color='green')
Q = plot3d(x^2 + y^2, (x,-2,2), (y,-2,2))
P + Q

The Graph of a Function of Two Variables, with Aspect Ratio $1$

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

x, y = var('x,y')
plot3d(x^2 - y^2, (x, -2, 2), (y, -2, 2), aspect_ratio=1)