Chapter 4.6, Problem 10PPE

To determine

whether the relation $\left\{\left(0.04,0.2\right),\left(0.2,1\right),\left(1,5\right),\left(5,25\right)\right\}$ is a function using mapping diagram and the domain and range of the relation.

Answer to Problem 10PPE

Domain: {0.04,0.2,1,5}

Range: {0.2,1,5,25}

Given relation is a function

Explanation of Solution

Given relation: $\left\{\left(0.04,0.2\right),\left(0.2,1\right),\left(1,5\right),\left(5,25\right)\right\}$

Solution:

Let the given relation be represented by R

  $R=\left\{\left(0.04,0.2\right),\left(0.2,1\right),\left(1,5\right),\left(5,25\right)\right\}$

The domain is the set of all first ordered pairs and the range is the set of all second elements od the ordered pairs.

Therefore domain of the relation is {0.04,0.2,1,5} and range of the relation is {0.2,1,5,25}

The mapping diagram of the given relation is

Domain Range

This relation is a function since each element from domain set is related to only one element in range set .