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 245: 34

Answer

$a.\quad \mathbb{R}$ $b.\quad (-3,0),\ (-1.5,0)$, ($0,-3$) $c.\quad $see image $d.\quad (-\infty,1]$ $e.\quad $Continuous
1564386557

Work Step by Step

It's best to graph the function first. Left of x=-2, (excluding x=-2) the graph is the line $y=x+3$, containing points $(-5,-2)$ and $(-3,0)$ Right of x=-2 (including x=-2) the graph is the line $y=-2x-3$, containing points ($-2,1$) and ($0,-3$) Domain: whole set $\mathbb{R}$ Range : $(-\infty,1]$ x-intercepts:$\quad (-3,0)$ and $(-1.5,0)$. y intercepts:$\quad$ ($0,-3$) There are no breaks, holes or gaps in the graph - it is continuous.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.