For the function y = √x, the domain is all non-negative real numbers (x ≥ 0) because square roots of negative numbers produce complex numbers, and the range is also all non-negative real numbers (y ≥ 0) because the square root function always outputs values greater than or equal to zero.
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How to Find the Domain and Range of √x (Step-by-Step)Added:
the domain and range of this following function. Domain are the X values in which you can plug into this function and the range are the Y values you get after plugging in the domain into this function. Now, looking at this function here, you can actually take any value of X as long as it's positive and also zero in this case here. You can't take a negative because you can't square root a negative number. You can, but you'll get a complex number, which isn't really allowed here in this sense here. So, that means the domain is every positive value, so that means between zero and infinity. And what that also means in this case here is the square root of X has to be greater or equal to zero by a byproduct. So, that means the range is between zero and infinity. So, domain zero to infinity and range is also zero to infinity.
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