Final answer:
The set of ordered pairs that does not represent a function is set (a) {(1, -8), (-6, -4), (3, 7), (-6, 1)} because the input -6 is associated with two different outputs, violating the definition of a function.
Step-by-step explanation:
The student has asked which set of ordered pairs does not represent a function. A set of ordered pairs represents a function if each unique input from the domain (first element of the pair) corresponds to exactly one output in the range (second element of the pair). We have to check each set to ensure this condition is met.
- Set (a): {(1, -8), (-6, -4), (3, 7), (-6, 1)} - Here, the input -6 corresponds to two different outputs (-4 and 1). This violates the definition of a function.
- Set (b): {(6, 7), (-7, 8), (-4, 8), (1, 2)} - All inputs are unique, so this set represents a function.
- Set (c): {(7, -5), (-8, 2), (-4, 6), (1, 6)} - All inputs are unique, so this set represents a function.
- Set (d): {(-5, 5), (5, 1), (6, 1), (2, -4)} - All inputs are unique, so this set represents a function.
The correct answer is set (a) because it contains an input (-6) with two different outputs, which means it does not satisfy the definition of a function.