Question

Identify the set of ordered pairs that represents y as a function of x?

1) (0, 0), (0, 1), (2, 3), (3, 4)
2) (0, 0), (1, 1), (2, 3), (3, 3)
3) (1, 0), (2, 0), (3, 3), (3, 4)
4) (-1, 0), (1, 0), (3, 0), (3, 4)

Answer 1

1) is correct because there are no repeating y values

Answer 2

The set of ordered pairs that represents y as a function of x is option 2) (0, 0), (1, 1), (2, 3), (3, 3).

Step-by-step explanation:

The set of ordered pairs that represents y as a function of x is option 2) (0, 0), (1, 1), (2, 3), (3, 3).

In this set, each x-value corresponds to a unique y-value, which is the criteria for a function. However, option 1) has (0, 0) listed twice, which violates the definition of a function. Also, options 3) and 4) have different x-values that correspond to the same y-value, which also violates the definition of a function.

Therefore, option 2) is the correct set of ordered pairs that represents y as a function of x.