Which set of ordered pairs in the form of (x, y) does not represent a function of x?
A. {(–1, 2), (3, –2), (0, 1), (5, 2)}
B. {(–1, 2), (3, 2), (–2, 2), (0, 2)}
C. {(–1, 2), (3, –2), (0, 1), (3, 5)}
D. {(–1, 2), (2, 3), (3, –2), (–2, 0)}
the one where an x-value is repeated
To determine which set of ordered pairs does not represent a function of x, we need to check if there are any repeating x-values in the set.
Let's examine each set of ordered pairs:
A. {(–1, 2), (3, –2), (0, 1), (5, 2)}
In this set, the x-values are -1, 3, 0, and 5. There are no repeating x-values, so this set does represent a function of x.
B. {(–1, 2), (3, 2), (–2, 2), (0, 2)}
In this set, all the y-values are the same (2), but the x-values are different. Therefore, this set does represent a function of x.
C. {(–1, 2), (3, –2), (0, 1), (3, 5)}
In this set, we have a repeating x-value of 3. Since one x-value is associated with multiple y-values, this set does not represent a function of x.
D. {(–1, 2), (2, 3), (3, –2), (–2, 0)}
In this set, all the x-values are different. Therefore, this set does represent a function of x.
Therefore, the set of ordered pairs that does not represent a function of x is C. {(–1, 2), (3, –2), (0, 1), (3, 5)}.