Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 3 - Section 3.6 - Graphing Piecewise-Defined Functions and Shifting and reflecting Graphs of Functions - Exercise Set - Page 183: 68

Answer

$\text{Domain: } (-\infty,\infty) \\\text{Range: } [0,\infty)$

Work Step by Step

The red graph is the graph of the first piece. The blue graph is the graph of the second piece. Using a table of values, the graph of the given piecewise function, $ f(x)= \begin{cases} x^2 \text{ if } x\lt0 \\\\ \sqrt{x} \text{ if } x\ge0 ,\end{cases}$ is shown above. The domain is the set of all $x$-values of the graph, while the range is the set of all $y$-values. Based on the graph above, then \begin{array}{l}\require{cancel} \text{Domain: } (-\infty,\infty) \\\text{Range: } [0,\infty) .\end{array}
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