Mobile Notice
You appear to be on a device with a "narrow" screen width (i.e. you are probably on a mobile phone). Due to the nature of the mathematics on this site it is best views in landscape mode. If your device is not in landscape mode many of the equations will run off the side of your device (should be able to scroll to see them) and some of the menu items will be cut off due to the narrow screen width.
Section 3.4 : The Definition of a Function
1. Determine if the following relation is a function.
\[\left\{ {\left( {2,4} \right),\left( {3, - 7} \right),\left( {6,10} \right)} \right\}\]Show All Steps Hide All Steps
Start SolutionHere is the set of 1st components (i.e. the first number in the ordered pair) and the set of the 2nd components (i.e. the second number in the ordered pair.
\[{1^{st}}{\mbox{ components : }}\left\{ {2,3,6} \right\}\hspace{0.25in}\hspace{0.25in}\hspace{0.25in}{2^{nd}}{\mbox{ components : }}\left\{ { - 7,4,10} \right\}\] Show Step 2Pick any number from the list of 1st components and identify all the ordered pairs with that number as the 1st component and list all the 2nd components from those ordered pairs. In this case no matter which number you pick from the 1st list there is exactly one number in the second list.
Therefore, this relation is a function.