Three-dimensional graph

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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

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

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

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