Question

Which of the following sets of ordered pairs represents a function?

{(−3, −3), (−2, −2), (−1, −1), (0, 0), (1, 1)}
{(−3, −3), (−3, −2), (−3, −1), (−3, 0), (−4, −1)}
{(−3, −3), (−3, −1), (−1, −2), (−1, −1), (−1, 0)}
{(−3 −3), (−3, 0), (−1, −3), (0, −3), (−1, −1)}

Answer 1

To determine which set of ordered pairs represents a function, we need to check if there are any repeating x-coordinates. Only the set {(−3, −3), (−2, −2), (−1, −1), (0, 0), (1, 1)} represents a function.

Step-by-step explanation:

An ordered pair represents a function when each input value (x-coordinate) is associated with exactly one output value (y-coordinate).

Looking at the given sets of ordered pairs, we can determine which one represents a function by checking if there are any repeating x-coordinates. If any x-coordinate appears more than once, then it is not a function.

Out of the options given, only the set {(−3, −3), (−2, −2), (−1, −1), (0, 0), (1, 1)} represents a function because each x-coordinate appears only once.