Write a function in matlab and then a program that has the following: Consider t

Question

Write a function in matlab and then a program that has the following:

Consider the function f(x) = e^-0.4 x cos x - 0.3. a) Plot the function using fplot for - 2 lessthanorequalto x lessthanorequalto 8. Using the plot, visually estimate and report the approximate locations of its minimum and maximum points. b) Use the fminbnd function to precisely determine the locations of the minimum point. c) Use the fminbnd function to precisely determine the location of the maximum point. d) Use the fzero function to find all the solutions to the equation f(x) = 0.

Explanation / Answer

clc;
close all;
clear all;

%x = 0:8;

%QUESTION 1
fx1 = @(x) (exp(-0.4*x)*cos(x))-0.3 ;
fplot(fx1,[-2 8]);
%FROM THE GRAPH, THE maximum point will be around -0.3 and
% the maximum will be around 2.5

%QUESTION 2
x_min = fminbnd(fx1,-2,8)

%QUESTION3
% SOLUTION IS TO MIRROR VERTICALLY
fx2 = @(x) -((exp(-0.4*x)*cos(x))-0.3) ;

x_max = fminbnd(fx2,-2,8)

%QUESTION 4

x_zero = fzero(fx1,0)

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