Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 2 - Section 2.2 - Graphs of Functions - 2.2 Exercises - Page 168: 53

Answer

The curve represents a function. Domain: $[-3, 2]$ Range: $[-2, 2]$

Work Step by Step

Note that all vertical lines the will pass through the graph will do so on one point only. Thus, the graph pass the vertical line test, which means that the graph represents a function. The x-values vary from -3 to 2 so the domain is $[-3, 2]$. The y-values vary from -2 to 2 so the range is $[-2, 2]$.
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