Question

Which set of ordered pairs represents a function?

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

To determine if a set of ordered pairs represents a function, we need to check if any two pairs have the same first value (input) but different second values (output). The set of ordered pairs that represents a function is option B.

Step-by-step explanation:

A function is a relation in which each input has exactly one output. To determine if a set of ordered pairs represents a function, we need to check if any two pairs have the same first value (input) but different second values (output).

In option A, the pairs (-6, 9) and (-6, -9) have the same input (-6) but different outputs (9 and -9), so it does not represent a function.

In option B, all the pairs have different inputs, so it represents a function.

In option C, the pairs (6, 4) and (7, -6) have different inputs (6 and 7) but the same output (4), so it does not represent a function.

In option D, the pairs (2, -8) and (2, 0) have the same input (2) but different outputs (-8 and 0), so it does not represent a function.

Therefore, the set of ordered pairs that represents a function is option B.