## Trigonometry (11th Edition) Clone

$y=-\cot{x}$
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.)