Three-dimensional graph

Graph of the function f(x, y) = sin(x²)*cos(y²).

A three-dimensional graph is the graph of a function of two variables f(x, y).

Provided that x, y, and f(x, y) are real numbers, the graph can be represented as a planar or curved surface in a three-dimensional Cartesian coordinate system.

Example

The graph of the trigonometric function on the real line

$f (x, y) = \sin{x^2}\cdot \cos{y^2}$

is

$\{(x, y, \sin{x^2}\cdot \cos{y^2}) : x,y \in \mathbb{R}\}$.

If this set is plotted on a three dimensional Cartesian coordinate system, the result is a surface (see figure).

See also

• Graph (disambiguation)
• Two-dimensional graph
• Analytic geometry
• Cartesian coordinate system
• Euclidean space
• Coordinate system
• Dimension