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I have some data.

data = [     (10000, 0),     (100000, 0.25),     (10000000, 0.5), ] 

I want to find function(s) fitting this data. I have a possible starting point:

f(x) = Ax / (B + x) - C 

Can I find A, B, C satisfying the data?

The function should be continuous. f(x) for x<=10000 does not matter but should be negligible or negative for x<=10000. The function should have an asymptotic maximum < 1.

  • 0
    What are you really trying to do, and why do you want a function that behaves in the way you have described?2012-05-12
  • 0
    Create a progressive tax code without the ridiculous discrete brackets.2012-05-12
  • 0
    But, mostly just to learn some math.2012-05-12
  • 1
    Not of the form with your "starting point", but you can get one using logistic functions.2012-05-12
  • 0
    What is ridiculous about discrete brackets?2012-05-12

2 Answers 2