Writing the Matlab code for the following Langrange Interpolation and answering the question that comes with it

4. Lagrange Interpolation] Interpolate 5,5], with Lagrange polynomials of order n = 5, 10,20. Does the approx- at evenly spaced points on the interval mation get better? 5. Piecewise Linear Interpolation] Interpolate f(z) = 1 +r2 at evenly spaced points on the interval [-5,5] using piecewise linear interpolation with the same points as in Problem 4. Does the approximation get better with more points