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100 POINTS
What is the domain and the range of this graph?

100 POINTS What is the domain and the range of this graph?-example-1
User Maditya
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Answer and Explanation

The domain of a function is the set of valid inputs, or x-values, that results in a real output, or y-value.

For this graph, we can see that the function's x-values extend from 1 to 4, inclusive of the endpoints. Therefore the function's domain is:

  • 1 ≤ x ≤ 4

The range of a function is the set of its real outputs, or y-values, that result from all valid inputs.

For this graph, we can see that the function's y-values extend from -1 to 2, inclusive of the endpoints. Therefore, the function's range is:

  • -1 ≤ y ≤ 2

Note

The vertical axis is the y-axis, and the horizontal axis is the x-axis. Therefore, the domain is represented graphically as the total horizontal space taken by the function, and the range is represented graphically as the total vertical space taken by the function.

User Khawar Ali
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