Real-valued function of two or more variables
#[Function of two variables][Función de dos variables]#
A
real-valued function $f$ of two variables is a rule for manufacturing a new number, called $f(x,y)$ (and read '$f$ of $(x,y).$') from a pair of numbers $(x,y).$
#[Examples][Ejemplos]#
1. \t $f(x,y) = 3x+y$ \t
\\ \t $f(1,2) = 3(1) + 2 = 5$ \t
\\ \t $f(2,-6) = 3(2) + (-6) = 0$ \t
\\
\\ 2. \t $f(x,y) = x^2+y^2-25$ \t
\\ \t $f(4,-1) = 4^2+(-1)^2-25 = -8$ \t
\\ \t $f(-3,4) = (-3)^2+4^2-25 = 0$ $\quad$ \t