Answer
See graph (red).
domain $(-\infty, \infty)$, range $[0,\infty)$.
Work Step by Step
Step 1. To obtain the graph of $f(x)=2|1-x|=2|x-1|$ from $y=|x|$, shift the curve 1 unit to the right, then stretch vertically by a factor of 2. See graph (red).
Step 2. We can find the domain $(-\infty, \infty)$ and the range $[0,\infty)$.