Question

How do you find the domain and range for `y =sqrt(x-1)`?

Answer 1

With radical functions, we know that both the expression under the root and the outcome must be non-negative.

Explanation:

So `x-1>=0->x>=1`
There is no upper limit to `x` so the domain is:
`1<=x< oo`

As for the range:
`y` must always be `>=0`
Since there is no upper limit to `x`, there is also no upper limit to `y`
`0<=y< oo`
graph{sqrt(x-1) [-16.12, 48.84, -16.18, 16.3]}