Question

For the following exercises, determine whether the relation is a function.

1. {(a, b), (c, d), (e, d)}

Answer 1

The given relation
`$\{(a, b),(c, d),(e, d)\}$` is a function.

Explanation:

A relation
`$\{(a, b),(c, d),(e, d)\}$` is given.

It is required to determine whether the given relation is a function.

To determine whether the given function is a relation, identify the domain and range and then check whether the given relation is a function.

Step 1 of 1

The given relation is {(a, b),(c, d),(e, d)}.

The set of the first components of each ordered pair is called the domain.

From the relation, the domain is {a, c, e}.

The set of the second components of each ordered the range.

From the relation, the range is {b, d, d}.

The given relation is a function. But it is not a one-to-one function.