Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 2 - Functions - 2.2 Domain and Range - Exercises and Problems for Section 2.2 - Exercises and Problems - Page 82: 20

Answer

$\textbf{Domain:}\quad x \leq 15 / 4$ $\textbf{Range:}\quad y \geq 0$

Work Step by Step

The square root function is only defined for non-negative values, that is when $15-4 x \geq 0$, thus we require that $x \leq 15 / 4$. The domain is $x \leq 15 / 4$. The values of the square root function are all non-negative, so the range is $y=f(x) \geq0$.
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