Math 22 Functions of Several Variables

Definition of a Function of Two Variables

 Let $D$ be a set of ordered pairs of real numbers. 
 If to each ordered pair $(x,y)$ in $D$ there corresponds a unique real number $f(x,y)$, then $f$ is a function of $x$ and $y$. 
 The set $D$ is the domain of $f$, and the corresponding set of values for $f(x,y)$ is the range of $f$. Functions of three, four, or more variables are defined similarly.

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