Answer
Domain : $[-\infty, \infty]$ and Range: $[-\pi, \pi]$
Work Step by Step
The multiplication of the inverse tangent curve by $-2$ results in doubling the range of the curve. The domain remains the same.
Therefore, we have the Domain and Range of the function as follows:
Domain : $[-\infty, \infty]$ and Range: $[-\pi, \pi]$