Chapter 4.6, Problem 4P

Identify the domain and range of each relation. Use a mapping diagram to determine whether the relation is a function.

$\{(0.3,0.6),(0.4,0.8),(0.3,0.7),(0.5,0.5)\}$

To determine

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

relation is function or not using mapping diagram.

Explanation of Solution

Given information:

The given relation is $\left\{(0.3,0.6),(0.4,0.8),(0.3,0.7),(0.5,0.5)\right\}$

Calculation:

The domain is the set of input values for which the function has defined output values.

The range is the set of output values for the inputs values which are from domain.

Hence, the domain $\left\{0.3,0.4,0.5\right\}$ and the range is $\left\{0.5,0.6,0.7,0.8,\right\}$

Mapping of given relation is shown below

  

From the above mapping diagram,

Each element of set one is not related to only one element in set two.

Hence, the given relation is not a function.