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

The graph for y = f(x) is symmetrical about y-axis.As$x \to \pm \infty , y \to \infty$.
y-axis x = 0 is the asymptote, in the negative y-direction. The graph cuts x-axis at $\left(\pm 1 , 0\right)$. .
$f \left(- x\right) = f \left(x\right) = \ln | x |$.
As$x \to \pm \infty , y \to \infty$. As $x \to 0 , y \to - \infty$.
For $x = \pm 1 , | x | = 1. \ln 1 = 0$.