Question

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

Answer 1

Domain : `x in (-oo, 3]`
Range : `y in [0, oo)`
See the illustrative semi-parabola graph.

Explanation:

`y=sqrt(x-3)>=0`

For y to be real, `x<=3`

graph{sqrt(3-x) [-10, 10, -5, 5]}