Question

Identify which value is NOT in the domain of the piecewise function.

question #15 image

Question 15 options:

-3


0


2


3

Answer 1

Its -3    because of the 2 open circles  on the line x = -3

Answer 2

The correct option is 1. The value -3 is NOT in the domain of the piecewise function.

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

`Domain=\x`

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.