Function from ordered pairs
The question
(14, 34) (8, 5) (14, 6) (9, 12)
Is this a function?
(14, 34) (8, 5) (14, 6) (9, 12)
pairs(14, 34)(8, 5)(14, 6)(9, 12)
pairs(14, 34)(8, 5)(14, 6)(9, 12)inputs148149
pairs(14, 34)(8, 5)(14, 6)(9, 12)inputs148149
14 → 34 and 14 → 6
Not a function
- In a function, every input has exactly one output. So check the inputs — the first number in each pair.
- The inputs are 14, 8, 14, 9.
- 14 is in that list twice, and the two pairs it belongs to do not agree: the input 14 goes to 34 and also to 6, and one input may only go to one place.
- One input, two different outputs, so this relation is not a function.
How it works.
- 01
In a function, every input has exactly one output. So check the inputs — the first number in each pair.
- 02
The inputs are 14, 8, 14, 9.
- 03
14 is in that list twice, and the two pairs it belongs to do not agree: the input 14 goes to 34 and also to 6, and one input may only go to one place.
- 04
One input, two different outputs, so this relation is not a function.