Answer:
- increasing: (-∞, -1) and (2, ∞)
- decreasing: (-1, 2)
Explanation:
You want to know the intervals on which the given graph is increasing and decreasing.
Increasing
The function is increasing when its graph goes up to the right. This graph goes up to a relative maximum at x = -1, and up from a relative minimum at x = 2.
The intervals of increase are (-∞, -1) and (2, ∞).
Decreasing
The function is decreasing where the graph goes down to the right. It is decreasing between the relative maximum at x=-1 and the relative minimum at x=2.
The interval of decrease is (-1, 2).
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