Which set of ordered pairs below is a function?
I.{(3 , 3), (6 , 1), (2 , 3)}
ll.{(4 , 7), (2 , 8), (4 , 2)}
lll. {(9 , 6), (3 , 1), (7 , 3)}
I. looks ok
II. has 2 values of y for x = 4. NO way
III. looks ok
To determine if a set of ordered pairs is a function, we need to check if each x-value is paired with a unique y-value.
I.{(3, 3), (6, 1), (2, 3)}:
In this set, the x-value 3 is paired with y-values 3 and 1, which means it is not a function.
ll.{(4, 7), (2, 8), (4, 2)}:
In this set, the x-value 4 is paired with y-values 7 and 2, which means it is not a function.
lll.{(9, 6), (3, 1), (7, 3)}:
In this set, each x-value is paired with a unique y-value, which means it is a function.
Therefore, the set of ordered pairs lll. {(9, 6), (3, 1), (7, 3)} is the set that represents a function.