Answer
Domain: (-∞, 0) U(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 $f(x)=\ln (x^2)$
The graph in black represents $ ln(x)$
The function (in red) has a reflection about the y-axis, thus it is an even function.
Domain: (-∞, 0) U(0, ∞)
Range: (-∞, ∞)
Asymptote: x = 0
