Consider the following function, whose functional form changes for different intervals alongPlease provide detailed steps for this matlab programme. answers should not be copied from AI rather I want explanation of every bit and answer shown and graph of matlab if possible. please make sure detail steps are shown for my understandig and learning purpose.

the $x-$axis:

$f(x)=\{\begin{array}{cc}1,& x<mn\; id="EditorElement\_2067928">0</mn>\\ x^2+1,& 0x<mn\; id="EditorElement\_2067959">1</mn>\\ -x^2+2x+1,& 1x<mn\; id="EditorElement\_2067998">2</mn>\\ 1,& x2\end{array}$

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

should $besensibly$ formatted and labelled.