Me

identify the mapping diagram that represents the relation and determine whether the relation is a function
{(-8, -6), (-5, 2), (-8, 1), (7,3)}

The mapping diagram is shown below.

The relation is not a function as it violates the definition of a function.

Step-by-step explanation:

Given:

The relation is given as:

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

In order to determine whether the above relation is a function, we need to check the domain and range of the given relation.

For a function, every element of the domain (input) has a unique and distinct element in the range (output). So, no two outputs can have the same input.

For a set of ordered pairs, the x coordinate denotes the elements of domain and the y coordinate denotes the elements of range.

Here, the elements of domain are: { -8, -5, 7 }

The elements of range are: { -6, 2, 1, 3 }

As we can observe that the element -8 of the domain has two outputs or 2 elements of range. So, it violates the definition of a function.

Hence, the given relation is not a function.