>>16837525
There are relations that are many-to-one.
Consider the mapping "poster on 4chan -> poster name is Anonymous"
Now, this is obviously many-to-one. It is a function where several different input values can have the same output value. A function is something that predictably associates something in the domain set with a concrete value in the image/target set. It doesn't need to be reversible, as already touched upon. That's a more specific subset.