Question

How do your write this in Matlab.

Create a program that takes as input: An integer nFunction that is either 1 or 2 indicating which of the two functions below to nsc * An integer n in [1.oc) indicating how many data points (ro."). ·The left endpoint a of an overall interval. (n泓) tote. The right endpoint b of an overall interval Your program should find the interpolating polynomial of degree less than or equal to of the requested function on the requested interval with the requested nmber of equally spaced datants Your program should use Newton's divided difference formulation of the interpolating polynomial and should use a recursive function divided difference to calculate the required divided differences Your program should plot the interpolating polynomial approximation P.(r) as well as the true funetion on the same plot with appropriate labeling. It should also approximate, sing the grid of r values used to produce the plot, the maximum error for the interpolating polynomial P.(z). Your program should not use any of the built-in Matlab interpolation functions, but rather should implement the algorithm as discussed in class Note that Newton's divided difference fornmala for the interpolating polynomial can be writ ten as Due May 31, 2016 1 of 3 Project 2 3. Function 1 Prajec >> Pr.jactl 1, 2. _l. 1) >>Pr.jact〔 ↓. 4. ●1. 1 )