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What is the domain of the radical function shown on the graph?

1) All real numbers
2) x | x ≤ 0
3) x | -10 < x < 10
4) x | x ≥ -10

1 Answer

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Final answer:

The domain of the given radical function on the graph, based on the provided intervals, would be closest to option 4) x | x ≥ -10, as it includes the range from 0 to 20 where the function is defined.

Step-by-step explanation:

When determining the domain of a radical function from its graph, the domain corresponds to the set of all x-values for which the function is defined. Based on the information given, the function f(x) appears to be defined from x = 0 to x = 20, inclusive. With this interval, the function is represented as a horizontal line within this range. Therefore, the domain does not include all real numbers, it is not limited to values where x ≤ 0, nor is it between -10 and 10 exclusively. The correct domain for this function would be the set of real numbers such that x is greater than or equal to 0 and less than or equal to 20. However, since the options provided do not match this exact interval, the closest option among the given choices would be 4) x | x ≥ -10, as it contains the interval from 0 to 20, although it is broader than the defined range of the function.

User Alexandr Kovalenko
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