Develop a MATLAB function to find the root of a user$-$specified function using a user$-$specified computational method. Implement all of the following methods:

$($a$)$ the bisection method

$($b$)$ the false position method

$($c$)$ the built$-$in "fzero" function with an initial bracketing interval

$($d$)$ the fixed point iteration method

$($e$)$ the Newton$-$Raphson method

$($f$)$ the built$-$in "fzero" function with an initial guess

Read the function template for more details. Note that $($c$)$ and $($f$)$ have already been implemented in the template. Therefore you only need to enable $($a$),($b$),($d$)$ and $($e$).$

Hint: You may re$-$use functions and subfunctions developed in the past. $($Code to call function: f $=$ @$($x$)4*$x$^3+6*$x$^2+16*$x$+5$;

$\%$ Note: we set dfdx$=0,$ x$0=0--$ they will not be used anyways

$[$x$,$y$,$it$]=$ RootFindingAllInOne$($f$,0,$'bisect',$-2,1,0,0\mathrm{.}1))$