Question

Which set of ordered pairs does NOT represent y as a function of x?




Which set of ordered pairs does NOT represent y as a function of x?


{(1, 3), (-6, 3), (-10, 3), (8, 3)}


{(-5, 15), (2, -13), (8, -37), (12, -53)}


{(1, 7), (-2, -2), (4, 16), (8, 28)}


{(1, 3), (1, 5), (1, 9), (1, 15)}

Answer 1

Answer:

The set of ordered pairs that does NOT represent y as a function of x is the last option: {(1, 3), (1, 5), (1, 9), (1, 15)}.

Step-by-step explanation:

In order for a set of ordered pairs to be a function, each input must have exactly one (and only one) output. In this case, this means that each x-value must be associated with only one y-value. In the first three answer choices, each x value has only one y-value. However, in the final option, the input of 1 produces four different outputs, which indicates that this choice cannot be a function.

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