For the graph of the function $$f(x)=\log_3 (x-2)$$ answer the following questions:

The domain of the function $f(x)$ is .
Note: Use interval notation to enter your answer.

The range of the function $f(x)$ is .
Note: Use interval notation to enter your answer.

List the $x$-intercept(s) of the function $f(x)$ as a comma-separated list: .

List the vertical asymptote(s) of the function $f(x)$ as a comma-separated list: .