Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 13 - Functions of Several Variables - 13.1 Exercises - Page 876: 21

Answer

Domain: $x: (-\infty,\infty), y: [0,\infty)$ Range: $(-\infty,\infty)$

Work Step by Step

For the x-domain, any numbers can be used to result in real-number results. So, the x-domain is $(-\infty,\infty)$. Only positive values and zero can go under the $\sqrt y$ function, so the y domain is $[0, \infty)$. Since x can be both negative and positive, the output values can be positive and negative. So, the range is all real numbers.
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