Question

Do these points represent a function?

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

Answer 1

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.