Question

Which relation(s) meet(s) the criteria for functions?

Select ALL that apply.

(1 point)
Responses

{(0,0), (1,3), (1,−3), (2,6), (5,7)}

{(0,0), (1,3), (1,−3), (2,6), (5,7)}


{(1,1), (1,2), (1,3), (1,4), (1,5)}

{(1,1), (1,2), (1,3), (1,4), (1,5)}


{(2,3), (3,4), (4,5), (5,6), (7,8)}

{(2,3), (3,4), (4,5), (5,6), (7,8)}


{(3,3), (3,4), (4,5), (4,6), (5,8)}

{(3,3), (3,4), (4,5), (4,6), (5,8)}


{(4,0), (5,0), (6,0), (7,0), (8,0)}

Answer 1

The following are functions:

- {(2,3), (3,4), (4,5), (5,6), (7,8)} — each input (first coordinate) is used exactly once.
- {(4,0), (5,0), (6,0), (7,0), (8,0)} — each input is used exactly once (they can share the same output).

The others are not functions because some inputs (e.g. 1, 3, 4) are paired with more than one different output.