Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 1 - Section 1.2 - Basics of Functions and Their Graphs - Concept and Vocabulary Check: 5

Answer

False

Work Step by Step

RECALL: A function has every first component ($x$) paired with exactly one second component ($y$). Note that in the given equation, almost all $x$ values are paired with 2 different y-values. Example: When x=2: $y=\pm \sqrt{2^2-1} \\y=\pm \sqrt{4-1} \\y = \pm \sqrt{3}$ This means that the first component $x=2$, is paired with two second components: $y=\sqrt{3}$ and $y=-\sqrt{3}$. Therefore, the given equation is not a function.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.