Please Use MATLAB CODE and Ouptut with answer.

1. Interpolate the function f(z-Tr. x e [-5,5] on n + 1 Chebyshev nodes. 1+2 (a) The formula for the Chebyshev nodes in the notes are for the interval [-1,1]. Transform it to the interval [-5,5 (b) Plot the interpolating polynomial fn(x) and the function f() on -5,5] in the same graph and use legend to distinguish them. Do this for n-5, 10, 15, 20 and group these four graphs in a single figure with subplot. Feel free to use the LagrangeForm.m file on Canvas. (c) Use a for loop to calculate the error maxI) In(a) by using the inf Err.m file on Canvas for n = 10, 20, 30, 40, . .. , 100 and save them in the vector errors. Generate the log plot for errors against n-10, 20, , 100 by using the semilogy function. Add labels to each axis of your plot. What conclusion can you draw from the graph? How does the error change with the degree of the interpolating polynomials? 1. Interpolate the function f(z-Tr. x e [-5,5] on n + 1 Chebyshev nodes. 1+2 (a) The formula for the Chebyshev nodes in the notes are for the interval [-1,1]. Transform it to the interval [-5,5 (b) Plot the interpolating polynomial fn(x) and the function f() on -5,5] in the same graph and use legend to distinguish them. Do this for n-5, 10, 15, 20 and group these four graphs in a single figure with subplot. Feel free to use the LagrangeForm.m file on Canvas. (c) Use a for loop to calculate the error maxI) In(a) by using the inf Err.m file on Canvas for n = 10, 20, 30, 40, . .. , 100 and save them in the vector errors. Generate the log plot for errors against n-10, 20, , 100 by using the semilogy function. Add labels to each axis of your plot. What conclusion can you draw from the graph? How does the error change with the degree of the interpolating polynomials