Chapter 4.3, Problem 37E

To determine

Whether the relation is a function.

Answer to Problem 37E

Given relation is a function.

Explanation of Solution

Given information: We are given a relation $(3,6),(4,8),(5,10),(6,9),(7,14)$ .

Calculation: Given relation is $(3,6),(4,8),(5,10),(6,9),(7,14)$ .

As we know function is a special type of relation

A relation is said to be a function if two elements does not have the same image.

In given relation:

Image of $3\mathrm{is}6$

Image of $4\mathrm{is}8$

Image of $5\mathrm{is}10$

Image of $6\mathrm{is}9$

Image of $7\mathrm{is}14$

Here different elements have different images.

Therefore it is a function.