Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter P - P.3 - Functions and Their Graphs - Exercises - Page 28: 47

Answer

y is not a function of x

Work Step by Step

You should know that when we take square roots we end up with two solutions. In this case a single value of y will also have two solutions. This contradicts the definition of the function, therefore y is not a function of x. Also you should recognize that this is the equation of a circle with radius 4 and conclude that it fails the vertical line test making it 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.

GradeSaver will pay $15 for your literature essays
GradeSaver will pay $25 for your college application essays
GradeSaver will pay $50 for your graduate school essays – Law, Business, or Medical
GradeSaver will pay $10 for your Community Note contributions
GradeSaver will pay $500 for your Textbook Answer contributions