TASK: Use bisection to find a zero of the function f(x)=x^3-2x-5.
COMMENT: Although this function is a cubic polynomial, which could have three solutions to the problem, it will actually only have one (real) solution.
INSTRUCTIONS:
Copy the function "bisection3.m" from the homework directory. Write a function wallis.m that evaluates the function whose zero we are seeking. Write a script which calls bisection3 to seek a zero of the wallis function. Your search should begin in the interval [0,3]. Then print * the solution x, * the value of wallis(x), * the width of the interval (b-a) (this should be small now!) display the function and your estimated solution: xlist = 101 points in [0,3] ylist = wallis ( xlist ); plot ( xlist, ylist, xlist, 0*ylist, 'k:', x, 0, 'r.', 'Linewidth', 3, 'Markersize', 50 );
CHECK:
Your plot should be something like hw041_noaxis.jpg:
SUBMIT: Your file should be named "hw041.m", and begin with:
% hw041.m % YOUR NAME % This script (describe what it does)