Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 1 - Functions and Their Graphs - Section 1.1 Functions - 1.1 Assess Your Understanding - Page 54: 29


The equation defines $y$ is a function of $x$.

Work Step by Step

For an equation to be a function, it must satisfy the following requirement: Every value of $x$ must correspond to exactly one value of $y$. In this case it is true, because if we plug in any number in the place of $x$ the value of $y$ will be clear. For example, for $x=2$, $\frac{1}{x}=\frac{1}{2}=0.5$, therefore $y$ can only have $0.5$ as a value if $x=2$.
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.