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: 67

Answer

$y$ is a function of $x$

Work Step by Step

Take the cube root of both sides of the equation to obtain: $x=y^3 \\\sqrt[3]{x} = \sqrt[3]{y^3} \\\sqrt[3]{x} = y$ In the last equation above,for every $x$ value, there corresponds one value of $y$. Thus, the given equation defines $y$ as a function of $x$.
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