What is the range of the function graphed below?

Answer:
[-4, 0) ∪ [2, ∞)
Step-by-step explanation:
The range of a function is defined by all the possible y-values it can be. By looking at the graph we can see that the graph starts at -4(including it) and stops at 0(not including it). Then, it resumes at the y-position of 2(including it) and continues to infinity. We know this because there is no endpoint. We can start by writing:
[-4, 0)
This is because we are including 4 in the range and not including 0. Now, we have the second part:
[2, ∞)
This is because we are including 2, and infinity is written with ")".
Putting this together we get:
[-4, 0) ∪ [2, ∞)