Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 4 - Review Exercises - Page 190: 27

Answer

Refer to the graph below.
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Work Step by Step

RECALL: (1) The function $y=-\tan{x}$ has a period of $\pi$ and is a reflection about the x-axis of the function$y=\tan{x}$. (2) Consecutive asymptotes of the tangent function are $x=-\frac{\pi}{2}$ and $x=\frac{\pi}{2}$ One period of the given function is in the interval $[-\frac{\pi}{2}, \frac{\pi}{2}]$. Divide this interval onto four equal parts to get the key x-values $ -\frac{\pi}{4}, 0, \frac{\pi}{4}$. To graph the given function, perform the following steps: (1) Create a table of values using the key x-values listed above. (Refer to the table below.) (2) Graph the consecutive vertical asymptotes mentioned above. (3) Plot the points from the table of values and connect them using a sinusoidal curve. (Refer to the graph in the answer part above.)
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