# How do you find the domain and range of #f(x)=sqrt(x-1)#?

##### 1 Answer

May 17, 2018

domain is

range is

#### Explanation:

Domain

- can't be any number less than 1 ie
#x!=0,-1,-2,...#

So, domain is#x>=1#

Range

- based on the domain
- since domain starts at
#x=1# , then the smallest y-value is#sqrt(1-1)=0#

So, range is#y>=0#

Below is the graph, which you can see that domain is

graph{sqrt(x-1) [-10, 10, -5, 5]}