The second and third diagrams represent functions
For a relation to be a function, each input (X-value) must correspond to exactly one output (Y-value). Let's analyze each diagram:
1st Diagram:
4 is associated with both 0 and 4.
9 is associated with both -1 and 5.
16 is associated with both -2 and 6.
This violates the definition of a function because each input should have a unique output. Therefore, the 1st diagram is not a function.
2nd Diagram:
Each X-value (input) is associated with a unique Y-value (output).
This satisfies the definition of a function. Therefore, the 2nd diagram is a function.
3rd Diagram:
Each X-value (input) is associated with a unique Y-value (output).
This also satisfies the definition of a function. Therefore, the 3rd diagram is a function.
Therefore,
The 1st diagram is not a function.
The 2nd diagram is a function.
The 3rd diagram is a function.