Is it ever possible for the domain and range in a function to have different numbers of entries (for example, 3 domain entries to 5 range entries, or 2 range entries to 7 domain entries)? What happens when this is the case?

Question

anonymous · Answer

Yes, this is very possible. As a simple example take y=2. There is only value in the range, 2, yet the domain is all the real numbers. So the domain contains and infinite number of values while the range has only one.

anonymous · Answer

thanks

terenzreignz · Answer

For finite cases, though, the range may not outnumber the domain.

terenzreignz · Answer

For instance, in your '3 domain entries and 5 range'
Well, each of those three domain entries may only be mapped to at most three range entries, leaving 2 elements in the so-called range which are not, after all, images of elements of the domain... means they're not in the range after all...