Answer
See graph, domain $\{x|x\ne k\}$ (where $k$ is an integer), range $(-\infty,-2]U[2,\infty)$.
Work Step by Step
Step 1. See graph for $y=-2csc(\pi x)$.
Step 2. Based on the graph, we can determine the domain $\{x|x\ne k\}$ (where $k$ is an integer), range $(-\infty,-2]U[2,\infty)$.