# How do you find the domain and range of y =sqrt(2 - x)?

Domain is $x \le 2 , x \in R$ , range is $y \ge 0 , y \in R$.
If we are dealing with real numbers, we cannot include any values of x in the domain which will render the value of 2-x as negative, hence domain is restricted to $x \le 2 , x \in R$.
The radical symbol sqrt returns only the positive square root of the bracket and so the range is restricted to $y \ge 0 , y \in R$.