Given the $5$ functions $($f$1-$f$5),$ and the live script provided, write a script to plot all the functions as shown in the live script.

f$1$:

function $[$y$]=$ f$1($x$)$

$\%$ x is a scalar, and y is a scalar

if length$($x$)$ ~$=1$

error$(\text{'}$x is wrong dimensions'$)$

end

y $=482\mathrm{.}1*$x$^2+$ x$^3-42\mathrm{.}356$;

end

f$2$:

function $[$y$]=$ f$2($x$)$

$\%$ x is a scalar, and y is a vector

if length$($x$)$ ~$=1$

error$(\text{'}$x is wrong dimensions'$)$

end

y $=[$x$*3$; x$+2]$;

end

f$3$:

function $[$y$]=$ f$3($x$)$

$\%$ input is a scalar, output is a vector

if length$($x$)$ ~$=1$

error$(\text{'}$x is wrong dimensions'$)$

end

y $=[$x$*15$; x$+20$; $0\mathrm{.}5*$ x$^3-10*$ x$]$;

end

f$4$:

function $[$y$]=$ f$4($x$)$

$\%$ x is a vector of dimension $2(2$x$1),$ y is a vector of dimension $2$

if size$($x$,1)$ ~$=2$

error$(\text{'}$x is wrong dimensions'$)$

end

A $=[3*$x$(1,1),2*$x$(2,1)$; x$(2,1)+$ x$(2,1),$ x$(1,1)^2-2]$;

y $=$ A $*$ x;

end

f$5$:

function $[$y$]=$ f$5($x$)$

$\%$ x is a vector of dimension $2,$ y is a vector of dimension $3$

if length$($x$)$ ~$=2$

error$(\text{'}$x is wrong dimensions'$)$

end

A $=[3*$x$(1,1),2*$x$(2,1)$; x$(1,1)+$ x$(2,1),$ x$(1,1)^2-2$; $3/$x$(2,1),$ x$(1,1)$;$]$;

y $=$ A $*$ x;

end

Live script:

HW$1$

clf;

clear;

Load up the data

nGridPts$=20$;

f$1$

$[x1,y1]=$ FunctionSampler $($@$f1,0,10,12)$;

DataPlotter $($x$1,$y$1)$;

f$2$

$[x2,y2]=$ FunctionSampler $($@$f2,0,15,12)$;

DataPlotter $($x$2,$y$2)$;

f$3$

$[x3,y3]=$ FunctionSampler $($@$f3,0,10,12)$;

DataPlotter $($x$3,$y$3)$;

f$4$

$[x4,y4]=$ FunctionSampler $($@$f4,[0$;$0],[10$;$20],10)$;

DataPlotter $(x4,y4)$;

f$5$

$[x5,y5]=$ FunctionSampler $($@$f5,[0$;$0],[10$;$20],12)$;

DataPlotter$($x$5,$y$5)$;

All two$-$dimensional functions $($x has two dimensions$)$ should be plotted in a contour plot $($f$4$ and f$5).$ All one$-$dimensional functions should be in line or scatter plots $($f$1-$f$3).$