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Yes. Typical example: y = x2. To avoid comparing infinite sets, restrict the function to integers between -3 and +3.

Domain = -3, -2 , ... , 2 , 3. So |Domain| = 7

Range = 0, 1, 4, 9 so |Range| = 4

You have a function that is many-to-one. One consequence is that, without redefining its domain, the function cannot have an inverse.

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Q: Is it ever possible for the domain and range to have different numbers of entries what happens when this is the case?
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