College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 3 - Section 3.4 - Library of Functions; Piecewise-defined Function - 3.4 Assess Your Understanding - Page 244: 31

Answer

$a.\quad \mathbb{R}$ $b.\quad (0,1)$ $c.\quad $see image $d.\quad \mathbb{R}\backslash\{0\}=(-\infty,0)\cup(0,\infty)$ $e.\quad $Not continuous (jump at x=0)

Work Step by Step

It's best to graph the function first. The graph is the line $y=2x$, with the point (0,0) excluded, and replaced with (0,1). (There is a jump at x=0) Domain: whole set $\mathbb{R}$ Range : $\mathbb{R}\backslash\{0\}=(-\infty,0)\cup(0,\infty)$ There is no x-intercept (no x for which f(x)=0). The y intercept is at (0,1)
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