<h2>
Answer:</h2>
The statement that best describes the relationship of a relation and a function is:
- A function is always a relation.
- A relation is a function, if and only if, the x- values do not repeat in a given set.
<h2>
Step-by-step explanation:</h2>
Relation--
Let A and B be two set then a relation from set A to set B is the collection of the ordered pairs of the type:
(a,b) where a belongs to A and b belongs to B.
Function--
A function from set A to set B is the mapping in which each element of set A is mapped to a single element of B.
Hence, we may say that a function is always a relation but a relation need not always be a function.
For a relation being a function we may assure that each element must have a single image.
i.e. there may not exist any ordered pair of type:
(x,y) and (x,y')