Pregunta
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The relation is defined by the ordered pairs listed below.

The domain of is
The range of is
Is a function?
O Yes, the relation is a function
No, the relation is not a function
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Ask by Vaughan Huff. in the United States
Mar 25,2025

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The domain of is , the range is , and is not a function.

Solución

To determine if the relation is a function, we need to check if each element in the domain maps to a unique element in the range.
Given relation
Domain of : The set of all first elements in the ordered pairs, which are .
Range of : The set of all second elements in the ordered pairs, which are .
To check if is a function, we need to verify if each element in the domain maps to a unique element in the range.
Since there are repeated elements in the range for the same element in the domain (e.g., and ), the relation is not a function.
Therefore, the answer is: No, the relation is not a function.

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Mind Expander

The domain of the relation consists of all the first elements from the ordered pairs, which are . This means the domain is unique values of inputs, leading to the set . Meanwhile, the range of comprises the second elements of each pair: . Thus, the range is .
Now, is a function? Let’s examine the definition of a function: each input should map to exactly one output. In this case, the input is associated with two different outputs, and . Therefore, the answer is: No, the relation is not a function.

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