Precalculus (6th Edition)

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

Chapter 2 - Graphs and Functions - 2.6 Graphs of Basic Functions - 2.6 Exercises - Page 255: 6

Answer

The graph of $f(x) =[|x|]$ is the one in Option B. When $x=1.5$, the value of the function is $2$.

Work Step by Step

The graph of the greatest integer function $f(x)=[|x|]$ looks like a ladder with gaps on each 'step' (see page 253 of the textbook). Thus, its graph is the one in Option B. The graph shows that when $x=1.5$, the value of the function is $2$.
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