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It depends on what the domain and the range are. If the range is the positive integers, then the mapping is not even defined.
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The signed integer range extends only from negative infinity to positive infinity. You have to make up your own names and symbols for whole numbers that are not included in that range.
The simplest answer is that the domain is all non-negative real numbers and the range is the same. However, it is possible to define the domain as all real numbers and the range as the complex numbers. Or both of them as the set of complex numbers. Or the domain as perfect squares and the range as non-negative perfect cubes. Or domain = {4, pi} and range = {8, pi3/2} Essentially, you can define the domain as you like and the definition of the range will follow or, conversely, define the range and the domain definition will follow,