College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Section 2.2 - Graphs of Functions - 2.2 Exercises: 56

Answer

The curve represents a function of $x$. Domain: $[-3, 2]$ Range: $\left\{-2\right\} \cup \left\{y | 0 \lt y \le 3\right\}$

Work Step by Step

RECALL: The Vertical Line test states that if all vertical lines will pass through a graph in at most one point, then the graph represents a function of $x$. Note that all vertical lines will pass through the given graph in at most one point only. Even the vertical line that would seem to pass through two different points ($x=-1$), the vertical line actually passes through the graph at only one point since the other point is a hole, which is not really part of the graph. Thus, the given graph represents a function of $x$. The domain is the set of $x$ values covered by the graph, while the range is the set of $y$ values covered by the graph of the function. The graph covers the x-values from $-3$ to $2$. Thus, the domain is $[-3, 2]$. The graph covers the y-values $-2$ and $0
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.