Which point could be removed in order to make the relation a function? {(0, 2), (3, 8), (–4, –2), (3, –6), (–1, 8), (8, 3)} Which point could be removed in order to make the relation a function? {(0, 2), (3, 8), (–4, –2), (3, –6), (–1, 8), (8, 3)}
ANSWER: Either \((3,8)\) or \((3,-6)\)
Explanation
For a relation to be a function, it must either be a one-to-one relation or many-to-one-relation.
The above relation is one-to-many relation because 3 is mapping on to -6 and 8.
To make the above relation a function, we must remove one of the points containing 3 as first coordinate.
This will make the relation one-to-one which then becomes a function.
See attachment for diagrammatic representation.