find a function that approximates a given set of data imposing conditions

Hi,

I am dealing with this issue. I have a data set of points (x,y); I have to fit a function to my data, but I don't have an idea of the family of functions to use. I do know it must be a monotonous and growing function and I must impose these conditions:

• f(0) = 0;
• f(Inf)=1;
• f'(0)=1;
• f'(Inf)=0

An example could be the function 'f(x)= 1 - exp(-x)', but unfortunately it doesn't fit to my data properly.

Is there a tool in Matlab to find a function to approximate my data imposing the previous conditions?

Answer 1

[Alex Sha]

If possible, attach your data please.