Question

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)}

(8, 3)
(3, –6)
(–1, 8)
(–4, –2)

Answer 1

Hint:
A function defined by ordered pairs (as in the function above) must not have duplicate x-values but with different y-values. This is because if we have (5,2),(5,7) as ordered pairs of the function, then for a value x=5, we cannot define what the y-value is, is it 2 from (5,2), or is it 7 from (5,7).
However, if one of them is removed, then the set of ordered pairs will qualify as a function.

Answer 2

Thank you but I figured out the answer. It would be (3,-6) since a input equals only one output. We have the input '3' two times. Different OUTPUT values are given at both times.

Answer 3

Exactly!
Many students were taught that functions cannot have equal inputs, which is false.
As long as the corresponding outputs are the same, they are ok.
But equal input with different outputs would be a problem.