there are several ways to look at this:-
rim manufacturers website published limits - these are not always the actual rim limits, for example a Mavic A719 shows as 28-47mm, the A317 shows also as 28-47mm, the 19 and 17 denote the internal rim width. Whereas the TN719 shows as 1.5"-2.3" or 37-60mm, this rim has the same specs as the A719. Their Open Pro model, with a 622-15 erto, shows as suitable for 19-28mm but the Open Sport at the same erto shows 19-32mm.
rim stickers - the rim itself has a manufacturers sticker on it denoting the upper and lower limts, the TN719 shows 1"-2.3" or 25-60mm, which is quite a different lower limit to the website figure
Sheldon Browns table of appropriate rim width to tyre sizes
CTC info via Chris Juden around the best ratio between tyre and rim width, he indicates a range of about 1.4-2.2 with around 1.8 being best - you will note that a lot of the MTB/29er stuff goes to an upper limit of about 3.1:1
Along the same lines as the above is the theory around a constant size contact patch and correct profile, also using tyre pressure as a factor. There was a link on here to a table recently, giving a variance between front and rear pressures and also showing that bigger folks really can't achieve these ideals with narrower tyres. However Chris Juden has done a piece where he strongly disagrees with this.
Then you have the tyres that manufacturers actually put on complete bikes, and these may be most telling of all as I'm pretty sure they won't be taking any risks around legal action. My first hybrid came with 622-13 rims and 700x32 tyres, a ratio of 2.5 to 1 and exceeding the recommendations of just about everybody. I had no idea and actually swapped out the tyres for 700x35s, ran these with no problems for many miles.
I pay more attention to this stuff now and do select tyres, for road use, that give a reasonable profile on the rim in use. I have 622-19 rims on all bikes and, for offroad, am happy to go to a high tyre to rim ratio. I would be reluctant to go to the narrow end though, despite the Mavic sticker saying 25mm tyres would be fine on the 622-19 rims, I don't fancy that combo. I did have 700x28s on one bike but have just swapped these for 700x32s, I prefer the ride that gives. How much of that is just the larger tyre/lower pressure potential, and how much is the improved profile within a 19mm rim, I don't know. My other 'road' wheels run 700x42, same size rims, and the ride is even cushtier.
My gut reaction is that you can go bigger on a rim than you may think, as long as you don't go for really high pressures as well, and get a decent ride. Whereas the other end of the scale may/can/will produce a ride that isn't so good.