Answer:
[-4,0) ∪ [2,∞)
Step-by-step explanation:
Range of a function are all the permitted y-values of the function.
- We see that the top part of the function ranges from 2 to ∞ where 2 is included (closed circle at 2)
- The bottom part of the function ranges from -4 to 0 where -4 is included (closed circle at -4) and 0 IS NOT included (open circle at 0)
So the range is [tex]y\geq2[/tex] and [tex]-4\leq y<0[/tex]
Interval notation uses "[" and "]" to show INCLUDED numbers and "(" and ")" to show NON INCLUDED numbers.
So we can write the range as [tex][-4,0)[/tex] and [2,∞).
Second answer choice (2nd image attached) is correct.
