Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 10 - Exponents and Radicals - 10.1 Radical Expressions and Functions - 10.1 Exercise Set - Page 635: 119



Work Step by Step

$\bf{\text{Solution Outline:}}$ The domain of the given function, $ f(x)=\sqrt{x+5} ,$ is the permissible values of $x.$ Then use a table of values to graph the function. $\bf{\text{Solution Details:}}$ Since the radicand of a radical with an even index (index equals $2$), should be nonnegative, then \begin{array}{l}\require{cancel} x+5\ge0 \\\\ x\ge-5 .\end{array} Hence, the domain is the interval $ [-5,\infty) .$ Use the table of values below to get the graph of the function.
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