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

1 Answer
kumail
Apr 7, 2017

Both the domain and range are (0, ∞)

Explanation:

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.

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