[DiogenesLamp]

Logarithmic.

Logistic. It has a limit based on the carrying population, while logarithmic is capable of going to infinity. Real world growth curves cannot reach infinity. They can only go to the point where they are sustainable.

https://en.wikipedia.org/wiki/Logistic_function

[Tax-chick]

Oh, thanks. If one doesn’t learn something new every day, one might as well lie down and die!

[the OlLine Rebel]

Actually, the kind of function she was looking for was “exponential”, the inverse of log. That is the closest fit to the graph. Logs start fast then get slower. Exp. starts slowly then gets much faster, much like that graph.