Question

How do you find the domain and range of `y=|x-3|`?

Answer 1

Domain is `RR`.

Range is `[0, oo) = RR^+uu{0}`.

Explanation:

Observe that in `y=|x-3|, x` can any value from `RR`.

Hence, Domain is `RR`.

Also, `AA x in RR, |x-3|>=0`.

Hence, Range is `[0, oo) = RR^+uu{0}`.