Some curves that start exponential are actual unimodal, in the long run. Some are oscillatory. Some are chaotic, some have undefined behaviour because the thing being plotted ceases to make sense.
Why do you think all of them are eventually S curves in particular?
A more accurate statement would be that most exponentials are eventually sigmoids, while others are some other non-exponential function. A shorter version would be that no seeming exponential goes on forever.
That said, almost everything I can recall seeing poeple model as an exponential turned out to be a sigmoid.
Some curves that start exponential are actual unimodal, in the long run. Some are oscillatory. Some are chaotic, some have undefined behaviour because the thing being plotted ceases to make sense.
Why do you think all of them are eventually S curves in particular?
Fair point!
A more accurate statement would be that most exponentials are eventually sigmoids, while others are some other non-exponential function. A shorter version would be that no seeming exponential goes on forever.
That said, almost everything I can recall seeing poeple model as an exponential turned out to be a sigmoid.