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Which set of ordered pairs represents a function?

A. (1, 8), (8, 1), (1, 5), (5, 1)
B. (2, 1), (3, 1), (4, 3), (5, 3)
C. (5, 1), (3, 8), (3, 7), (7, 1)
D. (5, 1), (5, 6), (1, 3), (9, 7)

User Flunch
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1 Answer

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Final answer:

A function is a relation between two sets of values where each input value is associated with exactly one output value. The set (2, 1), (3, 1), (4, 3), (5, 3) represents a function.

Step-by-step explanation:

A function is a relation between two sets of values, where each input value (x) is associated with exactly one output value (y).

Looking at the given sets of ordered pairs:

A. (1, 8), (8, 1), (1, 5), (5, 1) - In this set, the input value '1' is associated with multiple output values '8' and '5', violating the definition of a function.

B. (2, 1), (3, 1), (4, 3), (5, 3) - In this set, each input value is associated with only one output value, satisfying the definition of a function.

C. (5, 1), (3, 8), (3, 7), (7, 1) - In this set, the input value '3' is associated with multiple output values '8' and '7', violating the definition of a function.

D. (5, 1), (5, 6), (1, 3), (9, 7) - In this set, the input value '5' is associated with multiple output values '1' and '6', violating the definition of a function.

Therefore, the set of ordered pairs that represents a function is B. (2, 1), (3, 1), (4, 3), (5, 3).

User Ian Colton
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