Final answer:
To determine which set of ordered pairs does not represent a function, we need to check if any x-values are repeated. Set d) (-9, 1), (2, 0), (8, -2), (2, -6) has a repeated x-value of 2, so it does not represent a function.
Step-by-step explanation:
To determine which set of ordered pairs does not represent a function, we need to check if any x-values are repeated. If any x-value is repeated, then the set does not represent a function. Let's analyze each set:
- a) (-8, 6), (-7, -7), (7, -9), (0, 6): This set does not have any repeated x-values, so it represents a function.
- b) (-9, 9), (-3, 4), (3, 9), (-2, 1): This set does not have any repeated x-values, so it represents a function.
- c) (7, -2), (-5, 6), (5, 0), (3, -2): This set does not have any repeated x-values, so it represents a function.
- d)(-9, 1), (2, 0), (8, -2), (2, -6): This set has a repeated x-value of 2, so it does not represent a function.
Therefore, the set of ordered pairs that does not represent a function is d) (-9, 1), (2, 0), (8, -2), (2, -6).