QUESTION $2(30$ marks$)$

Consider the following function, whose functional form changes for different intervals along

the $x-$axis:

$f(x)=\{\begin{array}{cc}1,& x<mn\; id="EditorElement\_870568">0</mn>\\ x^2+1,& 0x<mn\; id="EditorElement\_870599">1</mn>\\ -x^2+2x+1,& 1x<mn\; id="EditorElement\_870638">2</mn>\\ 1,& x2\end{array}$

Write a MATLAB program that plots the function $f(x)$ in the range $-3.$ The graph

should $besensibly$ formatted and labelled. $*************************************************************************************************************************\%$ Example code written to show the way programs should be included

$\%$ in the text of the MATLAB assignment.

$\%$ The program calculates current and power for a circuit containing a voltage

$\%$ source and a resistor. The values of voltage and resistance are contained in

$\%$ the arrays data$\_$voltage and data$\_$resistance.

$\%$ data obtained from the circuit

data$\_$voltage $=[0\mathrm{.}5,1\mathrm{.}0,1\mathrm{.}5,2\mathrm{.}0,2\mathrm{.}5,3\mathrm{.}0,3\mathrm{.}5,4\mathrm{.}0,4\mathrm{.}5,5\mathrm{.}0]$;

data$\_$resistance $=[2\mathrm{.}5,5\mathrm{.}5,8\mathrm{.}2,11\mathrm{.}1,14\mathrm{.}4,17\mathrm{.}9,21\mathrm{.}9,25\mathrm{.}2,30\mathrm{.}0,34\mathrm{.}7]$;

$\%$ calculate current based on Ohm$$s Law I $=$ V$/$R

current $=$ data$\_$voltage $/$ data$\_$resistance;

$\%$ calculate power based P $=$ V$^2/$R

power $=($data$\_$voltage $.^2)/$ data$\_$resistance;

$\%$ END OF FILE $$ Question$1.$