Question

identify the mapping diagram that represents the given relation and determine whether the relation is a function. {(-2, -4),(-1, -4),(3, -4), (6, -4)}

Answer 1

The answer is yes because we know that the x cannot repeat, but  that rule does not apply to the y. Since the first number in each ordered pair does not match up with another number, it is a function.

Answer 2

The relation is a function.

Explanation:

A mathematical function is a relation that is established between two sets, through which each element of the first set is assigned a single element of the second set or none.

Therefore, given a set A and a set B, a function is the association that occurs when each element of set A is assigned a single element of set B.

The relation {(-2, -4), (- 1, -4), (3, -4), (6, -4)} contains the following sets:

A = {-2, -1, 3, 6}

B = {-4}

The relation is a function because each element of set A corresponds to a single element of set B, that is, no element of set A is repeated, all of them are different. The fact that set B contains a single element does not influence, so that the relation is a function.

Hope this helps!