Is the relation {(1, 3), (-4, 0), (3, 1), (0,4), (2, 3)} a function? why or why not?

Yes.

The relation is a function because every element in the domain (the x's) is mapped to one element in the range (the y's).

Step-by-step explanation:

For a relation that is a set of points all you have to look for while igorning any duplicate points is that all of the x's are different.  If there are any 2 (or more) x's that are the same, then it is not a function.

So there are no duplicate points.

For example the set {(1,5),(2,5)(1,5)} is really just {(1,5),(2,5)}.

Anyways the x's in the points are (in order from left to right):

1

-4

3

0

2

All of these are different, I did not list a value for x that was same anywhere in that list.  So it is a function.

The relation is a function because there is no x that gets mapped to more than one y.

it could be 1,3 and more others to create a cylinder.

step-by-step explanation: