Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 4 - Section 4.5 - Graphs of Sine and Cosine Functions - Exercise Set - Page 599: 125

Answer

See graph and explanations.

Work Step by Step

a. See graph, red curve. b. For the reciprocal function $y=-3sec(\frac{x}{2})$, at $x=-\pi,\pi,3\pi,5\pi$, the original function values are on the x-axis; thus the reciprocal function (blue curve) will be undefined and have vertical asymptotes at these locations.
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