Design the Bisection function $($you may use the m$-$language and work in Matlab or

any high level language$)$ utilizing the bisection method for solving nonlinear equations

$()0$

f x$=$

$.$ This function must use the following calling arguments: brackets $12,$ x x ; $\backslash$delta $($pre$-$

determined tolerance value$),$ and Flag $($a stopping criterion for your iterative process based on

the type of error used$).$

Your function shall accept $()$

f x as a calling argument $($for example, like anonymous function

in Matlab$)$ too.

Your function shall return a root, which was found, and the number of iterations needed to find

it$.$

Your function shall give the user $4$ options to stop the iterative process and have $3$

corresponding branches, accordingly $($an option to be chosen must be an argument in your

function$)$:

a$)$ An absolute approximate error is used to stop the process. You may predict the number of

iterations in advance in such a case.

b$)$ An absolute relative approximate error is used to stop the process.

c$)$ Estimation of a true absolute error is used to stop the process.

d$)$ Conjunction of an absolute approximate error and an estimated true absolute error is used to

stop the process.