As you can see in the statement, the given function has 3 pieces:
[tex]f(x)=\begin{cases}1\text{ if }x\le-1\Rightarrow\text{ First piece} \\ x+2\text{ if }-12\Rightarrow\text{ Third piece}\end{cases}[/tex]
In the first piece the function is constant, that is, it is equal to 1 for all values of x less than or equal to -1. Then the graph this piece is
On the other hand, in the third piece the function is also constant, that is, it is equal to 4 for all values of x greater than 2. Then the graph of this piece is
Finally, if we join the three pieces of the function in a single graph we obtain:
