Chapter 8.1, Problem 13PPS

To determine

To calculate: Justify whether each relation is a function.

Answer to Problem 13PPS

The given relation is not a function.

Explanation of Solution

Given: $\left\{\left(3,1\right),\left(3,3\right),\left(3,7\right),\left(3,9\right)\right\}$

The relation is said to be function, if every single element of the domain is associated with one element of the range.

Domain: The domain the set of possible input values, which are shown on the x-axis.

Range: The range is the set of possible output values, which are shown on the y-axis.

Check the domain and range of the given relation:

The domain 3 value is paired with 1, 3, 4, and 9.

Therefore, the given relation is not a function