Question

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

Answer 1

domain: `x>=2`
range: `y>=0`

Explanation:

(True for `RR`):

domain are the "`x`"es of yours function:
`x-2>=0 => x>=2`

range are the "`y`"s:
for `x_0=2`, `y=sqrt(2-2)=0`
for `x>=x_0`, `y>=0`