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Consider the following relation: { (1,12), (3,8), (3,11), (6,9), (7,11) }. Which ordered pair could be removed so that the relation may be classified as a function? Explain your reasoning.

User Chiara Ani
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Final answer:

To classify the given relation as a function, one of the ordered pairs with the x-value of 3 should be removed.

Step-by-step explanation:

In order for a relation to be classified as a function, each input value (x) must have exactly one corresponding output value (y). If there are any duplicate x-values in the relation, then it is not a function.

In the given relation { (1,12), (3,8), (3,11), (6,9), (7,11) }, we can see that the x-value 3 is repeated twice. Therefore, to classify this relation as a function, we need to remove one of the ordered pairs with an x-value of 3.

If we remove the ordered pair (3,8) or the ordered pair (3,11), then the relation will be classified as a function since each x-value will have only one corresponding y-value.

User Ghola
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