Use the graph of the function f to determine f(x)

Answer: option a.
Step-by-step explanation:
The [tex]\lim_{x \to a} f(x)[/tex] give us information about the behavior of the function when the variable x gets closer to the value a. In other words, it tells us to what value y gets closer when x gets closer to the value a.
In this case we are evaluating the limits when:
[tex]{x \to -3}[/tex]
[tex]{x \to 0}[/tex]
[tex]{x \to 2}[/tex]
of the function shown in the graph.
As you can observe in the graph, when:
[tex]{x \to -3}[/tex] , [tex]y=3[/tex]
[tex]{x \to 0}[/tex] , [tex]y=0[/tex]
[tex]{x \to 2}[/tex] , [tex]y=-2[/tex]