Let's say I have the logistic function
f(x) = a / (1 + b*e^(-(x-c)/d))
For a, the value will likely not changed, it stays fixed at 1. b will remain in the meanwhile at 0.2, but I would like to plot all other variants of the function for x in the interval 0, 21 for different values of c and d in different colors (like color lerp).
Like, for all combinations of c,d in [0.2,0.4,0.6,0.8,1.0,1.2]
How to achieve this in sage 5.2 and python? I've tried simply using a python function that returns a "sage function" but it doesn't work.
