Question

Select Is a Function or Is not a Function to correctly classify each relation.

Title
Is a Function
Is not a Function
{(3, 7),(3, 6),(5, 4),(4, 7)}
{(1, 5),(3, 5),(4, 6),(6, 4)}
{(2, 3),(4, 2),(4, 6),(5, 8
{(0, 4),(3, 2),(4, 2),(6, 5)}

Answer 1

Answer: ^^^ that person was correct

Explanation:

Answer 2

1. {(3, 7),(3, 6),(5, 4),(4, 7)} → is not a Function
2. {(1, 5),(3, 5),(4, 6),(6, 4)} → is a Function
3. {(2, 3),(4, 2),(4, 6),(5, 8)} → is not a Function
4. {(0, 4),(3, 2),(4, 2),(6, 5)} → is a Function

Explanation:

A relation from a set X to a set Y is called a function, if each element of X is related to one and exactly one element in Y. Though many elements of X can be related to one element in Y (many to one).

{(3, 7),(3, 6),(5, 4),(4, 7)} → is not a Function (as (3, 7), (3, 6) share same x)

{(1, 5),(3, 5),(4, 6),(6, 4)} → is a Function

{(2, 3),(4, 2),(4, 6),(5, 8)} → is not a Function (as (4, 2), (4, 6) share same x)

{(0, 4),(3, 2),(4, 2),(6, 5)} → is a Function