Function from a table

The question
x19558y2033456

(19, 20) (5, 3) (5, 34) (8, 56)

Is this a function?

x: 19, 5, 5, 8 y: 20, 3, 34, 56

How it works.

x19558y2033456
x19558y2033456inputs19558
x19558y2033456inputs19558
5 → 3 and 5 → 34
Not a function
  1. 01

    In a function, every input has exactly one output. So check the inputs — the top row of the table.

  2. 02

    The inputs are 19, 5, 5, 8.

  3. 03

    5 is in that list twice, and the two pairs it belongs to do not agree: the input 5 goes to 3 and also to 34, and one input may only go to one place.

  4. 04

    One input, two different outputs, so this relation is not a function.