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A function may be defined over only certain values. That is, it may have only a certain set of values that can serve as input. For example, in elementary mathematics, the principal square root is only defined for non-negative real numbers. This is the "area" over which the function is valid and so it is called the domain.

The mathematical term for the set of output values is actually the co-domain, but many people refer to it as the range.

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Q: Why is the range the output and the domain the input?
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