Question

How do you graph `f(x)=ln|x|`?

Answer 1

The graph for y = f(x) is symmetrical about y-axis.As`xto +-oo, ytooo`.
y-axis x = 0 is the asymptote, in the negative y-direction. The graph cuts x-axis at `( +-1, 0)`. .

Explanation:

`f(-x)= f(x)=ln |x|`.
As`xto +-oo, ytooo`. As `xto0, yto-oo`.
For `x=+-1, |x|=1. ln 1 = 0`.