Need Help finding range of function with absolute value in denominator

I am completely stuck on this question, thanks for all help.

I am supposed to find the domain and range of the function:

$\displaystyle f(x)=\frac{x}{|x|}$

I have solved the domain as $\displaystyle (-\infty,0)\cup(0,\infty)$

It's been quite a few years since I've worked with domain and ranges, then again one with an absolute value in the denominator.

I know that from $\displaystyle (-\infty,0)$ it's a horizontal line at y=-1 and that from $\displaystyle (o,\infty)$ it's a horizontal line at y=1. How do I write the range for this?