You are correct in stating a Max/Min on a scope but there are just to many variables to consider. For starters, depends on your eyes and what you are shooting and shooting at. For example, for hunting Squirrels, I prefer a low power scope and the 4X isn't low enough in my woods. For 100 yard paper shots, I prefer higher than a 9X. I feel that generally that is why 3-9X scopes are so prolific. I would bet that there has to be some documentation out there that provides some kind of guidlines.
I suggest you go out with your gear and test it out for yourself.
Be Safe !!!