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Sure. Remember that a function is ANY rule defined to calculate one number based on another number. You can define such a rule any way you want. For example, you can have a function which for ANY value in its domain, the result will always be 1 (or any other number you choose). Such a function (the constant function) will fulfill the requirements of the question. A more interesting (and more useful) example is the "sign" ("signum") function, defined with the following rule:

* For x < 0, f(x) = -1

* For x > 1, f(x) = 1

* For x = 0, f(x) = 0

This function has only three values in its range.

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