College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Section 2.2 - Graphs of Functions - 2.2 Exercises - Page 204: 54


The curve is not a function of $x$.

Work Step by Step

RECALL: The Vertical Line Test states that if all vertical lines will pass through a graph in at most one point, then the graph represents a function of $x$. Note that most vertical lines (e.g., $x=0$, $x=-1$, $x=1$, etc.) that will pass through the graph at two different points. The graph fails the vertical line test. Thus, the curve does not represent a function of $x$.
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.