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Expert-verified Found in: Page 915 ### Calculus

Book edition 1st
Author(s) Peter Kohn, Laura Taalman
Pages 1155 pages
ISBN 9781429241861 # Explain why Definition 0.1 is general enough to include functions of two and three variables.

Each combination of real numbers (x, y) in the domain of a function f of two different variables is assigned a real number f(x, y).

See the step by step solution

## Step 1. Given information

Term "function" is given.

## Step 2. Explanation

Definition 0.1 is as follows:

A function from a set A to set B is an assignment f that associates to each element x of the domain of set A exactly one element f(x) of the codomain or target set B

Each combination of real numbers (x, y) in the domain of a function f of two different variables is assigned a real number f(x, y).

Each combination of real numbers (x, y, z) in the domain of a function f of three different variables is assigned a real number f(x, y, z). ### Want to see more solutions like these? 