bisection(f,a,b,tol​)

Bisection method is the simplest among all the numerical schemes to solve the transcendental equations. This scheme is based on the intermediate value theorem for continuous functions
example :
%%
% clear all
% clc
% x=-3:0.1:3;
% y=3.*x+sin(x)-exp(x);
% plot(x,y)
% grid on
%%
a=0;
b=1;
tol=0.01;
myfun=inline('3.*x+sin(x)-exp(x)');
z=bisection(myfun,a,b,tol);
the above function has two roots in between -1 to 1 and in between 1 to 2.
for 1st root we assign a=-1 ; b=1; and for 2nd root we assign a=1; b=2.
the
for any reference please visit : https://mat.iitm.ac.in/home/sryedida/public_html/caimna/transcendental/bracketing%20methods/bisection/bisection.html#problems