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: 33

Answer

$a.\quad \mathbb{R}$ $b.\quad (0,3)$ $c.\quad $see image $d.\quad [1,\infty)$ $e.\quad $Continuous
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Work Step by Step

It's best to graph the function first. Left of x=1, (excluding x=1) the graph is the line $y=-2x+3$, containing points (0,3) and (-1,5) Right of x=1 (including x=1) the graph is the line $y=3x-2$, containing points (1,1) and (2,4) Domain: whole set $\mathbb{R}$ Range : $[1,\infty)$ There are no x-intercepts. The y intercept is at ($0,3$) There are no breaks, holes or gaps in the graph - it is continuous.
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