Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 8 - Radical Functions - Chapter Test - Page 671: 5

Answer

Domain: $x\leq 3$ Range: $y\geq 0$

Work Step by Step

The graph of the function begins at $x= 3$ and continues towards negative values of $x$, so $x\leq 3$. The function's values start from zero and take on positive values as $x$ decreases towards negative, so $y\geq 0$. Hence, the domain and range of the function are given by: \begin{equation} \begin{aligned} \textbf{Domain :}\quad & x\leq 3\\ \textbf{Range :}\quad & y\geq 0\\\\ \end{aligned} \end{equation}
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