We need to evaluate the function:
[tex]f(x)=\begin{cases}x+3,\text{ x<2} \\ \\ x^2,\text{ x}\ge2\end{cases}[/tex]when x=-1. To do that we need to determine if we need to use the first association rule or the second one. Since -1<2 we have to use the first assocation rule, then:
[tex]f(-1)=-1+3=2[/tex]Therefore, f(-1)=2