Q. 24 - Precalculus Enhanced with Graphing Utilities

Question

Determine whether each relation represents a function. For each function, state the domain and range. 

$\left\{\right(-4,4), (-3,3), (-2,2), (-1,1), (-4,0\left)\right\}$

Step-by-Step Solution

Answer

This relation is not a function.

Step 1. Given Information

In the given question we have to determine whether each relation represents a function and for each function, we have to state the domain and range. 

$\left\{\right(-4,4), (-3,3), (-2,2), (-1,1), (-4,0\left)\right\}$

Step 2. This given relation is { ( - 4 , 4 ) ,   ( - 3 , 3 ) ,   ( - 2 , 2 ) ,   ( - 1 , 1 ) ,   ( - 4 , 0 ) }

This relation is not a function because there are two ordered pairs, $(-4,4)$ and $(-4,0)$, that have the same first element and different second elements.