12.1: Introduction to Multivariable Functions - Mathematics …
https://math.libretexts.org/Bookshelves/Calculus/Calculus_3e_(Apex)/12%3A_Functions_of_Several_Variables/12.01%3A_Introduction_to_Multivariable_Functions
WEBDec 29, 2020 · A function f of two variables is a rule that assigns each pair (x, y) in D a value z = f(x, y) in R. D is the domain of f; the set of all outputs of f is the range. Example 12.1.1: Understanding a function of two variables. Let z = f(x, y) = x2 − y. Evaluate f(1, 2), f(2, 1), and f( − 2, 4); find the domain and range of f.
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