what is the shortcut method to find the range of the square root of the function with example?

Question

 what is the shortcut method to find the range of the square root of the function with example?

Answer 1

First, find the domain of a square-root function.  You know that ONLY positive numbers including zero can be under a square-root.  Once you have your domain, evaluate the function using the x-values within that domain.  The resulting values from the evaluation is your range.