How to calculate exponential decay?

Question

Mathematics

There are numbers. Grow linearly from 0 to indeterminate values(x). For example, up to 1000-10000. I want to limit their growth by exponential decay, for example, so that by 5000 the increase in the derivative of "y" from "x" slows down as much as possible.

How to count it? How to adjust the maximum

Answer 1

f(x)=Xm*(1-EXP(-c*x))
, where c shows how fast the function is typed
and Xm is the maximum value