Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 2 - Functions and Their Graphs - 2.2 The Graph of a Function - 2.2 Assess Your Understanding - Page 65: 19

Answer

(a) Domain: $(0,3)$; Range: $(-\infty, 2)$ (b) $x$-intercept: $(1,0)$ (c) no symmtery

Work Step by Step

The given graph will pass the vertical-line test since all vertical lines will pass the through the graph at a maximum of one point only. Thus, the given graph represents a function. (a) Domain: $(0,3)$ Range: $(-\infty, 2)$ (b) The graph has an $x$-intercept at $(1,0)$ but has no $y$-intercept. (c) The graph is not symmteric to either axis and is also not symmetric with respect to the origin.
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