Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 2 - 2.2 - Functions - 2.2 Exercises - Page 182: 11


$y$ is not a function of $x$

Work Step by Step

Solve the equation for $y$: $x^2+y^2=4$ $y^2=4-x^2$ $y=±\sqrt {4-x^2}$ So, for each value of $x$ in the domain, except $x=±2$, we will find 2 different values of $y$. For example, if $x=0$: $y=±\sqrt {4-0^2}=±\sqrt 4=±2$
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