Question

Which set of ordered pairs represents a function?

A. {(-5, 5), (4, 8), (-5, -6)}
B. {(-1, -1), (-1, 6), (-1, -10)}
C. {(-3, 7), (2, 5), (-7, 7)}
D. {(2, 3), (-2, 4), (-2,-5)}
E. {(2, 3), (3, 2), (2, 5)}

Answer 1

A set of ordered pairs represents a function if each input value (x-coordinate) is associated with only one output value (y-coordinate). Option C represents a function in the given options.

Step-by-step explanation:

A set of ordered pairs represents a function if each input value (x-coordinate) is associated with only one output value (y-coordinate). In other words, no two ordered pairs can have the same x-coordinate but different y-coordinates. Looking at the given options:

1. A. {(-5, 5), (4, 8), (-5, -6)}: This set is not a function because (-5, 5) and (-5, -6) have the same x-coordinate but different y-coordinates.
2. B. {(-1, -1), (-1, 6), (-1, -10)}: This set is not a function because (-1, -1), (-1, 6), and (-1, -10) all have the same x-coordinate but different y-coordinates.
3. C. {(-3, 7), (2, 5), (-7, 7)}: This set is a function because each x-coordinate is associated with only one y-coordinate.
4. D. {(2, 3), (-2, 4), (-2, -5)}: This set is not a function because (-2, 4) and (-2, -5) have the same x-coordinate but different y-coordinates.
5. E. {(2, 3), (3, 2), (2, 5)}: This set is not a function because (2, 3) and (2, 5) have the same x-coordinate but different y-coordinates.

Therefore, option C represents a function.