Answer:
[tex]\left \{ x|-4<x\leq 4 \right \}[/tex]
First option is correct.
Step-by-step explanation:
Domain is the set of x values for which the function is defined.
Hence, in order to find the domain, we see at which x values the graph originates and at which value of x the graph terminates.
The piece wise function is graphed between the values -4 and 4.
There is a hole at x = -4 hence, we'll not include this point in domain.
There is a solid circle at x = 4 hence, we'll include this point in domain.
Therefore, the domain of f(x) is
[tex]\left \{ x|-4<x\leq 4 \right \}[/tex]
First option is correct.
