Write a code for the bisection algorithm for finding a root of a real valued function.

Implement your code as a Matlab function that utilizes a for loop, using the following input and outputs

Input =

f(x) - The real valued function for which you want to find the root.

a, b - An interval for which you think the root lies

tol - A tolerance

maxiter - A maximum number of iterations.

Output r - The approximate root of your function (|f(r)| < tol)

resarray - An array of the residuals at each step. The first line of your code should therefore read: function [r, resarray] = bisect(f,a,b,tol,maxiter)