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: 19

Answer

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

Work Step by Step

For the function, all sets of x and y values result in a real number result. Therefore, the domain includes all real numbers. Since the function is like a parabola rotated about the z-axis, the lowest function value is 0. Therefore, the range, or function-output values, goes from 0 to infinity.
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