Which of the relations given by the following sets of ordered pairs is a function?
{(-3, -2,) (-2, -1), (0, -1) (0, -1.) (1, 2)}
{(7, 3), (-6, 8), (-3, 5), (0, -3), (7, 11)}
{(5, 2), (-4, 2), (3, 6), (0, 4), (-1, 2)}
{(5, 4), (5, 6), (5, 8), (5, 10), (5, 12)}
The relation given by the set of ordered pairs {(-3, -2,) (-2, -1), (0, -1) (0, -1.) (1, 2)} is not a function because both (-1,0) and (-1,0.) are not in the set. The same x-value (-1) corresponds to two different y-values (0 and 0.).
The relation given by the set of ordered pairs {(7, 3), (-6, 8), (-3, 5), (0, -3), (7, 11)} is not a function because the x-value 7 corresponds to two different y-values (3 and 11).
The relation given by the set of ordered pairs {(5, 2), (-4, 2), (3, 6), (0, 4), (-1, 2)} is a function because each x-value corresponds to a unique y-value.
The relation given by the set of ordered pairs {(5, 4), (5, 6), (5, 8), (5, 10), (5, 12)} is not a function because the x-value 5 corresponds to five different y-values (4, 6, 8, 10, and 12).