Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 2 - Nonlinear Functions - 2.1 Properties of Functions - 2.1 Exercises - Page 54: 7

Answer

y is $\textbf{not a function}$ of x.

Work Step by Step

A function is a rule that assigns to each element from one set exactly one element from another set. For any x$\neq$0, say x=1 y can be +1 or -1 for the relation to be valid, so this rule is not a function (one x-value can have more than one y-value assigned).
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