Question

How do I find the domain and range?

Answer 1

\[y=\sqrt{x+2}\]

Answer 2

To find domain,the value under the square root must be non-negative

Answer 3

so find the interval in which square root value is non negative ?

Answer 4

range is the lowest output value (y) to the highest output value

Answer 5

to find range,just plug domain into the function

Answer 6

The lowest number under the radical sign needs to be zero because, as @mayankdevnani said, the the number under the square root is "non-negative".

Therefore, solve for x in \(x + 2 = 0\) to get the lowest appropriate domain.