Question

The set of ordered pairs shown below is a relation that is a function of x. {(1, 3), (2, 4), (3, 5), (4, 6)} Which ordered pair could be included in the set so that the relation remains a function of x?
A (3, 3)
B(1,6)
C (4,7)
D (0,4)​

Answer 1

Answer:

  D (0,4)​

Step-by-step explanation:

You want to know an ordered pair that could be added to the given relation such that it remains a function.

Function

A function cannot have any two ordered pairs that have the same x-value. The given relation has x-values {1, 2, 3, 4}, so none of these can be repeated if the relation is to remain a function.

The only choice with a different x-value is ...

  D (0, 4)

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Additional comment

The set of x-values is the "domain" of the function. It cannot have any repeats. The set of y-values is the "range" of the function. Those values can be repeated.

A function that is "one-to-one" cannot have any repeated range values, either.

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