Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 1: Functions - Section 1.3 - Trigonometric Functions - Exercises 1.3 - Page 28: 30

Answer

From the diagram, the domain of the given floor function is the set of all real numbers, $D∈R$, while the range of the given floor function is the integers $0$ and $±1$, $R= {−1,0,1}$

Work Step by Step

The graph of $y=sinx$ is just a wave function. Using this graph, we can plot the ceiling function. As the sine wave function is periodic, the ceiling function would also be periodic. As such, we can just focus on one cycle of the sine function.
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