Question

Which of the following statements best represents the relationship between a relation and a function. a function is always a relation but a relation is not always a function. a relation is always a function but a function is not always a relation. a relation is never a function but a function is always a relation.?

Answer 1

Answer:

A function is always a relation but a relation is not always a function

Step-by-step explanation:

In mathematics the relation shows the relationship of the elements of a set to the elements of another set,

For example,

If A = { a, b, c }, B = {e, f, g, h}

R = { (a, e), (a, f), (b, g), (c, h)}

Then R is called relation from A to B,

Where, A is called Domain and B is called co-domain.

A relation is called function if the elements of domain are related to only one element of co domain.

i.e.

If R = { (a, e), (b, f), (c, g) }

Then R is called function.

Hence, the correct option is,

A function is always a relation but a relation is not always a function

Answer 2

The first statement: a function is always a function but a relation is not always a function.