Definition talk:Image (Set Theory)/Mapping

Terminology question, what is the proper way to use "image of this under that"? I don't know if I've been using it right. IMHO the answer should be added to the page proper. --GFauxPas 08:54, 16 March 2012 (EDT)


 * I believe it is "image of $X$ under $f$". I've always found this to be kind of weird, because the image of the entire domain (of $f$) under $f$ is sometimes referred to as the "image of $f$". Abcxyz 10:34, 16 March 2012 (EDT)


 * What abcxyz says. Maybe 'image under $f$' is more consistent, but it raises the implicit question 'image of what?'; this is solved by simply saying 'image of $f$'. --Lord_Farin 10:50, 16 March 2012 (EDT)


 * "By" or "under": the page has "by", I'll add an amendment. --prime mover 15:38, 16 March 2012 (EDT)