Question

What is the domain and range of `y= abs(x-1)+2`?

Answer 1

As for domain, `x` has no limitations (no fractions, no roots), so the domain of `x:(-oo,+oo)`

Explanation:

The brackets mean `|x+1|>=0` so the function as a whole is always greater (or equal) than 2:
Range of `y: [2,+oo)`
graph{|x-1|+2 [-9.25, 10.75, -1.32, 8.68]}