Which set of ordered pairs does NOT represent a function?
A) (0, 1), (2, 2), (4, 8), (-2, 7), (5, 8)
B) (0, 1), (2, 2), (4, 8), (2, 7), (5, 8), (7, 9)
C) (-3, 6), (2, 7), (0, 5), (1, 5), (4, 9), (5, 4)
D) (-4, 2), (-3, 2), (-2, 2), (-1, 2), (0, 2), (1, 2)
Do you see any cases where for a given x, you see different values of y ?
if so, that set of ordered pairs is NOT a function
(that is, you have 2 or more points on the same vertical line)
B), (2, 2), ,,,, (2, 7)
Yikes, TWO y values for x = 2 !!!!
To determine which set of ordered pairs does NOT represent a function, we need to identify if there are any repeated x-values with different y-values. If there is any pair with the same x-value having different y-values, then it is not a function.
Let's evaluate each option:
Option A: (0, 1), (2, 2), (4, 8), (-2, 7), (5, 8)
There are no repeated x-values, so it is a function.
Option B: (0, 1), (2, 2), (4, 8), (2, 7), (5, 8), (7, 9)
There is a repeated x-value: (2, 2) and (2, 7).
So, this set does NOT represent a function.
Option C: (-3, 6), (2, 7), (0, 5), (1, 5), (4, 9), (5, 4)
There are no repeated x-values, so it is a function.
Option D: (-4, 2), (-3, 2), (-2, 2), (-1, 2), (0, 2), (1, 2)
All x-values have the same y-value (2). While this may seem repetitive, it is still a valid function. It is commonly known as a vertical line test where any vertical line drawn through a graph of a function passes through only one point on the graph.
Therefore, the set that does NOT represent a function is Option B: (0, 1), (2, 2), (4, 8), (2, 7), (5, 8), (7, 9).