Looking at this question should the word "codomain" be changed to "range" in the title to make this post more easily find-able by those with same question? I.e. do kids these days even use the word "codomain"? It's not quite correct to talk about the range in that question because that's not what I'm thinking of, but I'm worried students who also have this question and search for it won't find this post because they only know the word range.
Some clarification based on the comments: the range of a function is it's image, and the range is a subset of the codomain.