is there a software that can make a maths function from a set of given inputs and outputs?

Question

better if it is a polynomial or rational function.

Answer 1

Mathematica is the best but maple also does the job

Answer 2

You can write a function that will go through a number of points, but it doesn't have assurance that it's the correct function.

For relatively simple functions, there are codes. See Matlab or Maple or Mathematica.