Question

Is (-3,-2), (-1,0), (0,1), (1,2) a function?

Answer 1

Yes it is a function, i was wrong !

Explanation:

Jim says the correct explanation.

Two examples of functions using your points.
The particularity of your four points is their collinearity (=they are aligned).
Indeed, we can draw a straight line who is passing by all your points :

But this function is not unique, take a look of this :

Then {(-3,-2), (-1,0), (0,1), (1,2)} is a function, but you can't know more about other points. (Ex : x=2)

Answer 2

Yes, it is a function.

Explanation:

A function is a relation (a set of ordered pairs) with the additional property that: no two pairs have the same first element and different second elements.

The definition is often stated as: A relation in which every `x` value is associated with exactly one `y` value. "Exactly one means one but two or more:

So the Relation (the set) `{(-3, -2), (-1,0), (0,1), (1,2)}` is a function.

More examples

`{(-3, 1), (-1,1), (0,1), (1,0)}` Is a function (no two pairs have the same `x` and different `y`'s)

`{(-2, 0), (-2,1), (0,4), (1,3)}` is NOT a function because the pairs `(-2, 0)` and `(-2,1)` have the same first, but different second elements.