1. Write and call a function in Matlab to implement Newton's Divided Difference Method. At a minimum, the function should require as input: x, f(x), order, and point of interest. At a minimum, the function should output: f(point of interest) and estimated error. 1.6 2 2.5 3.2 4 4.5 fr) 2 8 14 15 8 2 a. Calculate f(2.8) utilizing all of the data to develop 1st through 5th order polynomials. Clearly output the results. b. Plot the estimated error vs order. Be sure to label the axes and title the plot