Precalculus (6th Edition) Blitzer

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

Chapter 4 - Section 4.6 - Graphs of Other Trigonometric Functions - Exercise Set - Page 612: 94


$$y=\sec \frac{3}{4}x$$

Work Step by Step

Please note that a secant function $y=A\sec Bx$ has range $(- \infty, -|A|] \cup [|A|, \infty )$ and period $\frac{2\pi }{B}$. Looking at the graph, we find that it can be the graph of a secant function with $|A|$=1 and $B=\frac{2\pi }{\frac{8\pi }{3}}=\frac{3}{4}$. Thus,$$y=\sec \frac{3}{4}x.$$
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