### Home > APCALC > Chapter 3 > Lesson 3.1.1 > Problem3-17

3-17.

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

1. Rewrite $f$ as a piecewise-defined function.

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

2. What is the domain of $f$?

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 $0$?