Final answer:
Set B does not represent a function because the x-value 8 is paired with two different y-values, which does not meet the definition of a function where each x-value must be paired with exactly one y-value.
Step-by-step explanation:
To determine which set of ordered pairs does not represent a function, we must apply the definition of a function. A function is defined as a relationship between two sets, typically called the domain and the range, where each element in the domain is paired with exactly one element in the range. If an x-value (first number in the ordered pair) shows up more than once and is associated with different y-values (second number in the ordered pair), then the set does not represent a function.
When reviewing the given sets of ordered pairs:
- Set A: ((4,4), (-3,-8), (7,-6),(-5, -3))
- Set B: ((-6,6), (8,2), (8, -1), (3,3))
- Set C: ((-4,-6), (-9, -7), (6,7), (0, -6))
- Set D: ((9,-5),(-5, -5), (0, -9), (8, -3))
We can see that Set B has the number 8 appearing twice as an x-value with two different y-values (2 and -1). Therefore, Set B does not satisfy the definition of a function.