College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 3 - Section 3.1 - Functions - 3.1 Assess Your Understanding: 35

Answer

The given equation does not define $y$ as a function of $x$.

Work Step by Step

An equation defines $y$ as a function of $x$ if for every value of $x$, the equation gives only one corresponding value of $y$. Note that the given equation gives two different y-values for most values of $x$. Example: When $x=0$: $y^2=4-x^2 \\y^2=4-0^2 \\y^2=4 \\y = \pm \sqrt{4} \\y=\pm 2$ Therefore, the given equation does not define $y$ as 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.