Answer:
2nd choice
(−∞, −2] ∪ (−1, 1) ∪ [2, ∞)
Explanation:
The range of a function is the set of y-coordinates.
Look at the graph starting from the left side.
The graph keeps going down to the left, so the minimum value if negative infinity, -∞.
From there, it goes up to a y-value of -2 with a closed dot, so -2 is included. That gives you this part of the range: (−∞, −2]
There are no y-values from y = -2 to y = -1, and -1 has an open dot.
There are y-values from just above -1 to 1, again with an open dot. That gives you the interval (−1, 1).
At y = 2 with a closed dot, the y-values start again and go up forever to positive infinity producing the interval [2, ∞).
The range is the union of the three intervals above.
Answer:
2nd choice
(−∞, −2] ∪ (−1, 1) ∪ [2, ∞)