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: 68


$y$ is NOT a function of $x$

Work Step by Step

Take the fourth root of each side of the equation to obtain: $x=y^4 \\\pm\sqrt[4]{x} = \sqrt[4]{y^4} \\\pm \sqrt[4]{x} = y$ Note that in the last equation above, for every value of $x$, there corresponds two different value of $y$. Thus, the $y$ is not a function of $x$.
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