Answer
See below
Work Step by Step
Step 1. See graph for $y=sec(\frac{2\pi}{3}x)+2$.
Step 2. Based on the graph, we can determine the domain $\{x|x\ne \frac{3}{4}k\}$ (where $k$ is an odd integer), range $(-\infty,-1]U[3,\infty)$.
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