Bivariate Function

A bivariate function (also called a function of two variables) is one that assigns output values when given two input variable values. Graphing of these functions result in a 3D graph.

Definition §

A function of two variables is a mapping $f$ that assigns a unique real number $z=f(x,y)$ to each pair of real numbers $(x,y)$ in some subset $D$ of the plane ${\mathbb{R}}^2$. We also write $f:D\to R$ where D is called the domain of f .

Graphing a Bivariate Function §

Limits and Continuity of Bivariate Functions §