Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 5 - Section 5.3 - Trigonometric Graphs - 5.3 Exercises - Page 431: 87

Answer

(a) see graph and explanations below. (b) see graph and explanations below.

Work Step by Step

(a) We can graph the function $y=sin(\sqrt x)$ as shown in the figure. Clearly it differs from $y=sin(x)$ in that it does not have a constant period, and the gaps between oscillations become larger as x increases. (b) We can graph the function $y=sin( x^2)$ as shown in the figure. Clearly it differs from $y=sin(x)$ in that it does not have a constant period, and the gaps between oscillations become smaller as x increases.
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