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: 2b

Answer

$y=-\cot{x}$

Work Step by Step

The given function has the vertical asymptotes $x=0$ and $x=\pi$. This means that the function involved must be the cotangent function. Note however, that the basic cotangent function $y=\cot{x}$ is decreasing in its entire domain. The given graph is increasing in its entire domain. This means that it must involve a reflection about the x-axis of $y=\cot{x}$. Therefore, the equation of the function whose graph is given must be $\color{blue}{y=-\cot{x}}$. Graphing this function matches the given graph. (refer to the graph below.)
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