Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - Test - Page 302: 14

Answer

See graph and explanations.

Work Step by Step

Use the definition of the Greatest Value function (also called the floor function), we can graph $y=\lfloor x\rfloor$ (red) and then shift it left 1 unit (blue) to get $f(x)=\lfloor x+1\rfloor$ as shown in the figure. (each line segment should have a solid dot at the left endpoint and an open circle at the right endpoint)
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