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

##### 1 Answer
Mar 21, 2018

Domain- $1 \le x <$$\propto$
Range- $0 \le y <$$\propto$

#### Explanation:

$x$ cannot be $< 1$, because if $x < 1$, there would be a negative under the radical, which cannot exist in the real number system. So $x$ can be anywhere from $1$ to$\propto$.

Since $x$ must be at least 1, the value of $y$ can range from $\sqrt{0}$ $= 0$, to sqrt of any value $> x$, which makes the limit of the range $\propto$.