Trigonometry (11th Edition) Clone

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

Chapter 4 - Test - Page 193: 1f



Work Step by Step

The graph is increasing in its entire domain. This means that the graph could either be that of the tangent or the cotangent function. Recall that the tangent function is undefined in when $x$ is an odd multiple of $\frac{\pi}{2}$, whiel the cotangent function is undefined when $x$ is a multiple of $\pi$. The given graph has the vertical asymptotes $x=0$ and $\pi$, which means that the function it represents is undefined for these values. Therefore, the function whose graph is given must be the basic cotangent function.
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