Chapter 9.1, Problem 38STP

To determine

To choose: The correct option.

Answer to Problem 38STP

  $\{(2,3),(2,4),(2,5),(2,6)\}$ does not represent a function.

Explanation of Solution

Given:

The following ordered pairs:

  $\begin{array}{l}\{(1,2),(2,3),(3,4),(4,5)\}\\ \{(2,3),(2,4),(2,5),(2,6)\}\\ \{(1,6),(2,6),(3,6),(4,6)\}\\ \{(5,4),(4,3),(3,2),(2,1)\}\end{array}$

  $\{(2,3),(2,4),(2,5),(2,6)\}$ does not represent a function because $2$ in the domain value is paired with four range values, $3,4,5$ and $6$ . If each domain value was paired with exactly one range value, the given relation would have qualified as a function.