Chapter 4, Problem 8CT

To determine

To identify: the domain and range of the given relation and then to find the whether the

relation is function or not using mapping diagram.

Explanation of Solution

Given information:

The given relation is $\{(9,6),(3,8),(4,9.5),(9,2)\}$

Concept used:

• The domain is the set of input values and range is the set of output values.
• In a relation, if the each element of set one is related to exactly only one element of set two. Then the relation is a function.

Domain is $\{9,3,4,9\}$

Range is $\{6,8,9.5,2\}$

Mapping diagram of given relation:

    

The each element of set one is related to only one element of set two.

Hence, the given relation is a function.