Final answer:
Set b) (-7, 3), (1, 2), (5, 3), (-7, 2) does not represent a function because it contains an x-value (-7) that is paired with more than one y-value (3 and 2), which violates the definition of a function.
Step-by-step explanation:
To determine which set of points does not represent a function, we need to analyze each set of points and look for any instance where a particular x-value is paired with more than one y-value. A function is defined by the property that each x-value has exactly one corresponding y-value. After reviewing the sets of points:
- a) (-2, 1), (6, 3), (5, 1), (-4, 6)
- b) (-7, 3), (1, 2), (5, 3), (-7, 2)
- c) (-4, -3), (-1, 2), (0, 5), (3, 2)
- d) (-5, -1), (-2, -1), (1, -1), (4, -1)
It is clear that set b) has the x-value -7 paired with two different y-values (3 and 2), which violates the definition of a function. Therefore, set b) does not represent a function.