Question

Which ordered pair could not be in this function?
{(1,2),(2,3),(3,4),(4,5)}

(5,5) (5,6) (1,0) (0,1)

Answer 1

The only rule for a function is that it has to map each input to exactly one output. So if a function maps one input to two distinct outputs, then it's not a function.

Answer 2

So which one of those inputs, if added to the function, would violate the definition of a function?

Answer 3

(5,5)

Answer 4

(1,0)

Answer 5

For the record, it's (1,0).
Loraaine picked (5,5) because the function looks like it should be linear and (5,5) would make it not linear. But nothing about the function says that it is or has to be a linear function.
(1,0) doesn't work as an ordered pair of the function because (1,2) is already an ordered pair of the function. So adding (1,0) means that the input 1 has two outputs, 0 and 2. This would violate the definition of a function.