What is the domain and range of #y^2 = x#?

1 Answer
Apr 7, 2017

Both the domain and range are #(0, ∞)#


The domain is all the possible values for x, and range is all the possible values for y.

Since #y^2 = x, y = sqrt(x)#
The square root function can only take in positive numbers, and it can only give out positive numbers. So all possible x values must be greater than 0, because if x was for example -1, the function would not be a real number. The same goes for y values.