Question

Which relations below are also functions (There is more than one answer)?

{(1,1), (2,2), (3,3)}
{(1,1), (2,1), (3,1)}
{(1,1), (1,2), (1,3)}
{(1,1), (2,3), (1,3)}
{(1,2), (2,3), (3,2)}

Answer 1

Explanation:

The following are relations which are also functions.
{(1,1), (2,2), (3,3)}

{(1,1), (2,1), (3,1)}

{(1,2), (2,3), (3,2)}

A function is a relation between elements of 2 sets, where the element of the 1st set can only be assigned once to the 2nd set.

for example:
A = {a, b, c}

B = {x, y, z}

the following pair is considered if the element of set A is only assigned with 1 element of set B.
i.e:
1 can only be either assigned to x, y or z
2 can only be either assigned to x, y or z
3 can only be either assigned to x, y or z

Answer 2

The first choice, the second choice and the last choice.

Explanation:

For a relation to be a function, each input (x) must have only one output (x).

Choice three:

The input 1 has three outputs 1,2 and 3

Choice four:

The input 1 has two outputs 1 and 3.

Helping in the name of Jesus.