Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 2 - Section 2.2 - Quadratic Functions - Exercise Set - Page 334: 106


No, the equation\[3x+{{y}^{2}}=10\] does not represent y as a function of x.

Work Step by Step

Let us consider that the given equation is $3x+{{y}^{2}}=10$. Simplify the equation as follows: $\begin{align} & 3x+{{y}^{2}}=10 \\ & {{y}^{2}}=10-3x \\ & y=\pm \sqrt{10-3x} \end{align}$ Therefore, for a single value of x, two values of y are obtained. Thus, it is not a function of x.
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