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Q 1.

Expert-verified

Calculus

Found in: Page 915

Book edition 1st

Author(s) Peter Kohn, Laura Taalman

Pages 1155 pages

ISBN 9781429241861

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Short Answer

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).

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

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).

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