Chapter 4.6, Problem 16P

Open-Ended What is a value of $x$ that makes the relation $\{(2,4),(3,6),(8,x)\}$ a function?

To determine

The value of $x$ .

Answer to Problem 16P

The value of $x$ is 16, so that the given relation become a function.

Explanation of Solution

Given:

  $\{\left(2,4\right),\left(3,6\right),\left(8,x\right)\}$

Taking relationship as pairs:

  $\begin{array}{l}\left(2,4\right)\to \left(2,[2\times 2]\right)\\ \left(3,6\right)\to \left(3,[2\times 3]\right)\end{array}$

So, $\left(8,x\right)\to \left(8,[2\times 8]\right)=\left(8,16\right)$ .

The result will be same when considering the first two points as defining a straight line graph and used than to determine the third ordered pairs.