b$)$ Consider the following objective function

$mi{n}_{x}f(x)=\{x-1{)}^2(x-2)(x-3)$

$0x4$

i$)$ Use the method of bisection to compute $x^{**}$ that minimizes $f(x)$ for ${}_a=1\mathrm{.}8,{}_b=$

$($Write MATLAB m$-$file code$)$

ii$)$ Plot the change of the $x$ versus iteration number, the alternation of the objective

function by the evolution of $x$ and gradient information versus iteration number.

$($Write MATLAB m$-$file code$)$