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) = 2\ln x $
The graph in black represents $\ln (x) $
The function (in red) is stretched vertically by a factor of 2
Domain: (0, ∞)
Range: (-∞, ∞)
Asymptote: x = 0