Answer
Domain: (-∞, 0)
Range: (-∞, ∞)
Asymptote: x = 0
See graph below
Work Step by Step
This problem just asks for the graph of the function, domain, range, and asymptote.
Given $f(x) = \log_{3} (-x)$
The graph in black represents $\log_{3} x$
The function (in red) is a reflection about the y-axis
Domain: (-∞, 0)
Range: (-∞, ∞)
Asymptote: x = 0