Answer:
The correct option is 1. The value -3 is NOT in the domain of the piecewise function.
Step-by-step explanation:
Domain is the set of input for which the function is defined.
From the given graph it is notice that the given piecewise function is not defined for x=-3 because there are open circles on the each piece of function at x=-3.
From the left curve it is clear that the function is defined for all x<-3.
From the right curve it is clear that the function is defined for all x>-3.
Domain of the given function is
[tex]Domain=\{x|x\in R, x\neq -3\}[/tex]
The domain of the function is all real number except -3.
Since the value -3 is NOT in the domain of the piecewise function, therefore the correct option is 1.
