Create a mapping diagram and identify if the relation is a function or not
(1,2), (4,0), (3,5), (4,3)
(-1,2), (2,3), (3,1), (2,5)
For the first set of coordinates, let's create a mapping diagram:
1 4 3 4
↓ ↓ ↓ ↓
┌───┐ ┌──┐ ┌───┐
│ 2 │ │ 0│ │ 5 │
└───┘ └──┘ └───┘
In this case, for every input value, there is exactly one output value. Hence, this relation is a function.
For the second set of coordinates, let's create a mapping diagram:
-1 2 3 2
↓ ↓ ↓ ↓
┌───┐ ┌───┐ ┌───┐
│ 2 │ │ 3 │ │ 1 │
└───┘ └───┘ └───┘
↑
│
5
In this case, the input value 2 has two different output values (3 and 5). Therefore, this relation is not a function.