Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 1 - Test - Page 305: 12

Answer

$f(x) $, domain $(-\infty, \infty)$, range $[0,\infty)$ $g(x) $, domain $(-\infty, \infty)$, range $(-\infty,4]$
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Work Step by Step

Step 1. For function $f(x)=x^2$, shown as the red curve in the figure, we can identify its domain as $(-\infty, \infty)$ and its range as $[0,\infty)$ Step 2. For function $g(x)=-(x-1)^2+4$, shown as the blue curve in the figure, we can identify its domain as $(-\infty, \infty)$ and its range as $(-\infty,4]$
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