Sketch $f(x) =\operatorname{log}|x|$.

1. Rewrite $f(x)$ as a piecewise function.

   Hint (a):

   This piecewise will have two pieces with a boundary point at $x = 0$.

2. What is the domain of $f$ ?

   Hint (b):

   The domain of the parent graph, $y =\operatorname{log}(x)$, is $x > 0$. In other words, negative values and $0$ are restricted.
   For $f(x) =\operatorname{log}|x|$, are negative values restricted? How about $0$?