Chapter 4.7, Problem 3CYU

To determine

To graph: The inverse of the relation from the given graph.

Explanation of Solution

Given:

The graph of the relation is:

Calculation:

From the graph of the relation, it is observed that the line passes through the points $\left(-5,1\right)$ , $\left(0,2\right)$ and $\left(5,3\right)$ .

Exchange the x and y coordinates to obtain the inverse.

$\begin{array}{c}\left(-5,1\right)\to \left(1,-5\right)\\ \left(0,2\right)\to \left(2,0\right)\\ \left(5,3\right)\to \left(3,5\right)\end{array}$

The inverse is $\left\{\left(1,-5\right),\left(2,0\right),\left(3,5\right)\right\}$ . Graph the points on the given graph and then draw a line of inverse points as follows: