Which set of ordered pairs represents y as a function of x? A) {(0, 0), (−1, 2), (−1, −2), (−2, 4), (−2, −4)} B) {(0, 0), (1, 1), (2, 4), (3, 9), (3, 16)} C) {(0, 0), (0, 1), (0, 2), (0, −1), (0, −2)} D) {(0, 0), (−1, −0.5), (−2, −1), (−3, −1.5), (−4, −2)}

Respuesta :

Answer: D

Step-by-step explanation:

No two coordinates can have to same input(x) and different outputs(y)

Using the function concept, it is found that the following set of ordered pairs represents y as a function of x:

D) {(0, 0), (−1, −0.5), (−2, −1), (−3, −1.5), (−4, −2)}

  • A relation is a function if one input is mapped to only one output.

  • In option A, the input -1 is mapped to multiple outputs, so it is not a function.
  • In option B, the input 3 is mapped to multiple outputs, so it is not a function.
  • In option C, the input 0 is mapped to multiple outputs, so it is not a function.
  • In option D, each input is mapped to only one output, so it is a function.

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