Is " (9,8), (7,6), (5, 4), (3,2) " a function or not?

1 answer

No, the given set of ordered pairs is not a function. In order for a set of ordered pairs to be a function, each input value (x-coordinate) must have a unique output value (y-coordinate). In this case, the x-coordinates (9, 7, 5, 3) are unique, but the y-coordinates (8, 6, 4, 2) are also unique. Thus, each input value does not have a unique output value, violating the definition of a function.