Which set of ordered pairs represents a function?

A. {(0, 1), (1, 2), (2, 3), (3, 3)}
B. {(0, 1), (1, 2), (1, 3), (2, 5)}
C. {(0, 0), (1, 2), (2, 4), (2, 6)}
D. {(0, 0), (0, 1), (2, 0), (2, 4)}

Respuesta :

Answer:

A

Step-by-step explanation:

The only set of ordered pairs where each x-value has exactly one y-value and therefore represents a function is: A. {(0, 1), (1, 2), (2, 3), (3, 3)}

Recall:

  • A set of ordered pairs that represents a function has exactly one y-value assigned to each x-value.
  • In order words, in a function, only one y-value can be related to an x-value. One x-value cannot give two different y-values in a set of ordered pairs.

Therefore, the only set of ordered pairs where each x-value has exactly one y-value and therefore represents a function is: A. {(0, 1), (1, 2), (2, 3), (3, 3)}

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