using matlab

Modify the user-defined function RegulaFalsi so that if an endpoint remains stationary for three consecutive iterations, 1/2 f(endpoint) is used in the calculation of the next x-intercept, and if the endpoint still remains stationary for three consecutive iterations, 1/4 f(endpoint) is used, and so on. All other parameters, including the default values, and the terminating condition are to remain the same as in RegulaFalsi. Save this function as RegulaFalsi_Mod. Apply RegulaFalsi to find a root of 1/3 (x - 2)^2 - 3 = 0 in [-6, 2]. Next apply RegulaFalsi_Mod and compare the results