Answer:
-2 < x ≤ 4
Explanation:
Pre-Solving
We are given the graph of a function that is a line segment, and we want to find the domain of it.
The domain is all of the x values where the function can exist.
Solving
Because this is a line segment, the domain is restricted to what is between the two endpoints.
This means that x is between the values of the endpoints.
We can see that the first endpoint is at (-2, -4), and that it is an open circle. This means that -2 is not included in the domain.
We can see the other endpoint is at (4,2) and it is a closed circle. This means that 4 is included in the domain.
So, we know that x (the domain) is between -2 (not included) and 4 (included).
We can write this as the following double inequality:
-2 < x ≤ 4