Question

Oliver is doing a study on age and shoe size. He has collected the data shown above.

Do the ordered pairs (x, y) he has collected form a function?
Responses
A Cannot be determinedCannot be determined
B Yes, because for every x there is only one y.Yes, because for every x there is only one y.
C Yes, because for every y there is only one x.Yes, because for every y there is only one x.
D No, because for some x's there are more than one y's.No, because for some x's there are more than one y's.
E No, because for some y's there are more than one x's.

Answer 1

D. No, because for some x's there are more than one y's.

Reason: A function requires each x-value (age) to pair with exactly one y-value (shoe size). In real data, two people can have the same age but different shoe sizes, so some ages would appear with more than one shoe size.