Question

What is the domain and range of `y = 3 sqrt (x-2)`?

Answer 1

`"domain " x inRR,x>=2`
`"range " y in RR,y>=0`

Explanation:

For real numbers the root cannot be negative.

`rArrx-2>=0rArrx>=2`

`rArr"domain is " x inRR,x>=2`

`"hence " y>=0`

`rArr"range is " y inRR,y>=0`
graph{3sqrt(x-2) [-10, 10, -5, 5]}