### Home > CALC > Chapter 3 > Lesson 3.1.1 > Problem 3-17

3-17.

Sketch

*f*(*x*) = log|*x*|. Homework Help ✎Rewrite

*f*(*x*) as a piecewise function.What is the domain of

*f*?

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

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|*x*|, are negative values restricted? How about 0?