Answer:
The mapping diagram is shown below.
The relation is not a function as it violates the definition of a function.
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.