Finding the best functions for different (x,y) points?

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I have different (x,y) points and I want to find the best function that matches these points. However,I have 13 sets of these points. Here is some example of my data.

points 1:

{{0,0.5571018518518518}{1,0.34960185185185183}{2,0.0932962962962963}}

points 2:

{{0,0.5167687654320987}{1,0.31323246913580244}{2,0.14440802469135802}{3,0.02559074074074074}}

points 3:

{{0,0.491290658436214}{1,0.2860765843621399}{2,0.16438765432098765}{3,0.051488847736625515}{4,0.006756255144032922}}

To clarify what I need, I want to find a function of f(x) that is close to all these 3 points sets. Is there anyway in Mathematica or Matlab to do this? Or any formula ?

Thank you in advance. if there is any problem in the question, please let me know so I can improve it.