Option A {(1, 2), (6, 2), (−3, −3), (2, 0)} represents a function.
A function is a relation where each input is associated with exactly one output. To determine whether a set of ordered pairs represents a function, we need to check if any input is repeated with different outputs.
From the options provided:
Option A: {(1, 2), (6, 2), (−3, −3), (2, 0)} - This is a function because each input is associated with exactly one output.
Option B: {(8, 9), (-6, -9), (−3, −2), (−3, −5)} - This is not a function because the input (-3) is repeated with different outputs (-2 and -5).
Option C: {(-2,-2), (7, 8), (−7, −2), (3, 2)} - This is a function because each input is associated with exactly one output.
Option D: {(6,-5), (0,7), (−1, −1), (0, 6)} - This is not a function because the input (0) is repeated with different outputs (7 and 6).
Therefore, option A {(1, 2), (6, 2), (−3, −3), (2, 0)} represents a function.
The probable question may be:
Which set of ordered pairs represents a function?
Answer
A {(1, 2), (6, 2), (−3, −3), (2, 0)}
B {(8, 9), (-6, -9), (−3, −2), (−3, −5)}
C {(-2,-2), (7, 8), (−7, −2), (3, 2)}
D {(6,-5), (0,7), (−1, −1), (0, 6)}