Consider a piecewise function as,
[tex]f(x)=\begin{cases}x+2,x<-2 \\ x-3,x\ge-2\end{cases}[/tex]
For the values of x less than -2 the function is f(x) = x +2 and for values of x greater than or equal to -2 the function is f(x) = x - 3.
Plot the piecewise function on the graph.
In the graph pink colored graph belongs to function f(x) = x + 2 which is for x less than -2 and purple color graph is for function f(x) = x + 3 for x more than or equal to -2.
