Do these points represent a function?

(3,3), (2,9), (2,6) (8,7), (5,11), (3,2)

1 answer

To determine if the given points represent a function, we need to check whether each input (the first value in each ordered pair) is associated with only one output (the second value in each ordered pair).

The given points are:

  • (3, 3)
  • (2, 9)
  • (2, 6)
  • (8, 7)
  • (5, 11)
  • (3, 2)

Now, let's identify the inputs:

  • The input 3 corresponds to two different outputs: 3 and 2.
  • The input 2 corresponds to two different outputs: 9 and 6.

Since the inputs 3 and 2 are associated with more than one output, this set of points does not represent a function. A relation must have each input correspond to exactly one output to be classified as a function. Thus, these points do not represent a function.