Question

Which set of ordered pairs represents a function?

{(2, –2), (1, 5), (–2, 2), (1, –3), (8, –1)}
{(3, –1), (7, 1), (–6, –1), (9, 1), (2, –1)}
{(6, 8), (5, 2), (–2, –5), (1, –3), (–2, 9)}
{(–3, 1), (6, 3), (–3, 2), (–3, –3), (1, –1)}

Answer 1

`\clubsuit` {(2, –2), (1, 5), (–2, 2), (1, –3), (8, –1)}

1 has Two Images, So It is not a Function

`\clubsuit` {(6, 8), (5, 2), (–2, –5), (1, –3), (–2, 9)}

-2 has Two Images, So It is not a Function

`\clubsuit` {(–3, 1), (6, 3), (–3, 2), (–3, –3), (1, –1)}

-3 has Three Images, So It is not a Function

These Set of Ordered Pairs are not Functions, Because In a Function Each Element in the Domain has Only One and Unique Image in the Codomain.

So, The Function is :

`\clubsuit` {(3, –1), (7, 1), (–6, –1), (9, 1), (2, –1)}