Answer:
- domain: (-3, 2)
- range: (-5, 4]
Explanation:
The domain is the horizontal extent of the graph. The range is the vertical extent.
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We note that the points (-3, 0) and (2, -5) are not part of the graph.
Domain
As an inequality, the domain can be described by ...
-3 < x < 2
When the limits don't include the "or equal to" case, they are shown in interval notation using parentheses (round brackets).
(-3, 2) . . . . domain
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Range
As an inequality, the range can be described by ...
-5 < y ≤ 4
That is, the point (-1, 4) is part of the graph, so 4 is included in the range. As we said above, the point (2, -5) is not included in the graph or its range.
When the "or equal to" case is included, the limit is shown in interval notation using a square bracket.
(-5, 4] . . . . range