Please solve both parts b and c (they are one question) and solve in MATLAB

The data values from part a are shown in the table above :)

You are given the following errorless data set: 1 2 3 5 7 8 f(x) 36 1999 291 444 b. Implement a MATLAB function or script to perform interpolation based on the closest 2,3, and 4 points using Lagrangian interpolating polynomials C. Run your function/script on the x values given in a) for the closest 2-, 3-, and 4-point Lagrangian interpolating polynomial You are given the following errorless data set: 1 2 3 5 7 8 f(x) 36 1999 291 444 b. Implement a MATLAB function or script to perform interpolation based on the closest 2,3, and 4 points using Lagrangian interpolating polynomials C. Run your function/script on the x values given in a) for the closest 2-, 3-, and 4-point Lagrangian interpolating polynomial