Q. 7 - Precalculus Enhanced with Graphing Utilities

Question

Does the following relation represent a function? $\left\{\left(-3,8\right), \left(1,3\right), \left(2,5\right), \left(3,8\right)\right\}$.

Step-by-Step Solution

Answer

The relation represent a function.

Step 1. Given information.

Does the following relation represent a function? 

$\left\{\left(-3,8\right), \left(1,3\right), \left(2,5\right), \left(3,8\right)\right\}$

Step 2. Determine function.

The given relation is $\left\{\left(-3,8\right), \left(1,3\right), \left(2,5\right), \left(3,8\right)\right\}$.

This relation is a function because there are no ordered pairs with the same first element and different second elements. 

Step 3. Conclusion.

The given relation represent a function.