ANSWER
[tex]f( - 1) = 2[/tex]
EXPLANATION
The given function is a piecewise defined function.
[tex]f( - 1)[/tex]
is the y-value that corresponds to
[tex]x = - 1.[/tex]
To determine that y-value, we need to trace from
[tex]x = - 1[/tex]
to where it meets the graph.
We then trace to the y-axis to determine the corresponding y-value as shown in the diagram.
From the graph, we can see that this x-value corresponds to a y-value of
[tex]2[/tex]
This implies that, when
[tex]x = - 1,y = 2[/tex]
Therefore
[tex]f( - 1) = 2[/tex]
See graph.