Question

The set of ordered pairs described in the table below can be described as which of the following?

x |y
--------
0 | 4
3 |-3
3 |1
5 |8
9 |2
 


a relation only

a function only

both a relation and a function

neither a relation nor a function

Answer 1

neither a relation nor a function because their a negative 3

and that's a non function

Answer 2

Giving those points, the answer is "a relation only".

Explanation:

A function is a special relationship where each input has a single output.

A relation between two sets is a collection of ordered pairs containing one object from each set.

A relation is allowed to have the object x in the first set to be related to more than one object in the second set, so it is impossible have both or none.

You can apply the vertical line test, is a visual way to determine if a curve is a graph of a function or not. A function can only have one output, y, for each unique input, x.