Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 2 - Section 2.2 - Graphs of Functions - 2.2 Exercises - Page 168: 67

Answer

The equation defines $y$ as a function of $x$. The function can be written as $f(x)=\sqrt[3]{x}$.

Work Step by Step

Solve for $y$ in terms of $x$ to have: $\sqrt[3]{x}=y \\y=\sqrt[3]{x}$ This equation is a rule that gives one value of $y$ for each value of $x$ so the equation defines $y$ as a function of $x$. The function can be written as $f(x)=\sqrt[3]{x}$.
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