An open interval refers to an interval that is exclusive of its endpoints.
- The graph decreases at (-4,1)
- The graph does not have an increasing interval
- The graph does not have a constant interval
From the graph, we have the following observations
- The graph represents a linear equation
- The direction of the straight line on the graph implies that, the graph has a negative slope
A linear equation can only have an increasing interval or a decreasing interval; it can never have both intervals at the same time, and it can never have a constant interval
Because the slope is negative, then the interval is a decreasing interval.
The endpoints of x on the graph are: -4 and 1
Hence, the open interval on which the function increases is: (-4, 1)
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