Question

Which set of ordered pairs represents a function? please help

A\{(-8, 1), (5, -7), (-6, 9), (-6, -9)\}{(−8,1),(5,−7),(−6,9),(−6,−9)}
B\{(-2, -3), (2, 1), (2, 6), (4, 9)\}{(−2,−3),(2,1),(2,6),(4,9)}
C\{(-8, 4), (6, 4), (9, 1), (7, -6)\}{(−8,4),(6,4),(9,1),(7,−6)}
D\{(-4, 5), (0, 0), (2, -8), (2, 0)\}{(−4,5),(0,0),(2,−8),(2,0)}

Answer 1

The set of ordered pairs that represents a function is C: {(-8, 4), (6, 4), (9, 1), (7, -6)}. In a function, each input (x-value) must have a unique output (y-value). To determine if a set of ordered pairs represents a function, check if any x-values are repeated.

Step-by-step explanation:

The set of ordered pairs that represents a function is C: {(-8, 4), (6, 4), (9, 1), (7, -6)}

In a function, each input (x-value) must have a unique output (y-value). To determine if a set of ordered pairs represents a function, check if any x-values are repeated. If there are no repetitions, the set represents a function.

In option A, (-6, 9) and (-6, -9) have the same x-value (-6), so it does not represent a function. In option B, (2, 1) and (2, 6) have the same x-value (2), so it also does not represent a function. In option D, (2, -8) and (2, 0) have the same x-value (2), so it does not represent a function either. Therefore, the set of ordered pairs in option C is the only one that represents a function.