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Find the domain and range for the function below.

Find the domain and range for the function below.-example-1
User McDuck
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Answer:

  • domain: (-4, 1]
  • range: [0, 9]

Explanation:

You want the domain and range of the given graphed function.

Domain

The domain is the horizontal extent of the graph. The left end is the point (-4, 4), but that point is not included in the domain, as indicated by the open circle. The right end is the point (1, 9). The domain is (-4, 1].

Range

The range is the vertical extent of the graph. The bottom extreme is at y=0, and the upper extreme is the point (1, 9). The range is [0, 9].

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Additional comment

Interval notation uses round brackets to indicate a point is not included in the interval, and square brackets to indicate the point is included.

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User AllirionX
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