Question:
Examine the graph.
Select each interval where the graph is increasing.
2 < x < 3
−1 < x < 0
−3 < x < -2
0 < x < 1
The image of the graph is attached below:
Answer:
Option A: ![2](https://tex.z-dn.net/?f=2%3Cx%3C3)
Option C: ![-3](https://tex.z-dn.net/?f=-3%3Cx%3C-2)
Explanation:
Option A: ![2](https://tex.z-dn.net/?f=2%3Cx%3C3)
From the graph, we can see that the interval
, the graph is increasing. An increasing graph raises from left to right.
Thus, in the interval
the graph is increasing.
Hence, Option A is the correct answer.
Option B: ![-1](https://tex.z-dn.net/?f=-1%3Cx%3C0)
From the graph, we can see that the interval
, the graph is decreasing. A decreasing graph decreases from left to right.
Thus, in the interval
the graph is decreasing.
Hence, Option B is not the correct answer.
Option C: ![-3](https://tex.z-dn.net/?f=-3%3Cx%3C-2)
From the graph, we can see that the interval
, the graph is increasing. An increasing graph raises from left to right.
Thus, in the interval
the graph is increasing.
Hence, Option C is the correct answer.
Option D: ![0](https://tex.z-dn.net/?f=0%3Cx%3C1)
From the graph, we can see that the interval
, the graph is decreasing. A decreasing graph decreases from left to right.
Thus, in the interval
the graph is decreasing.
Hence, Option D is not the correct answer.