I want to create a curve with a non-linear decay. It should cross the points y(x=0)=1 and y(x=100)=0.1.
What I tried is using a function of the following shape:
y = a^(-bx)
One example would be y = 5^(-0.0143x)
However, no matter which values for a and b I choose, as long as the line crosses the two points mentioned, it always looks the same. For example y = 50^(-0.0059x) or y = 0.5^(0.0332x) create exactly the same curve. However, I want a function where I can vary the parameters to influence the "convate-tivity" of the decay. In the picture added, I want to be able to not only get the solid line, but also the dotted lines. Is there a (simple) function which can to that?
