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

1. Rewrite $f$ as a piecewise-defined 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, $y = \log(x)$, is $x > 0$. In other words, negative values and $0$ are restricted.
   For $f(x)=\log \left| x \right|$, are negative values restricted? How about $0$?