Chapter 9.5, Problem 5MRE

To determine

To calculate: To graph the relation and to tell whether the relation is a function or not

Answer to Problem 5MRE

Relation is a function

Explanation of Solution

Given information: Relation is $\left\{\left(x,y\right):y=2x\right\}$

Calculation:

Relation is given as follows:

  $\left\{\left(x,y\right):y=2x\right\}$

When $x=0$

  $y=0$

When $x=1$

  $\begin{array}{l}y=2\left(1\right)\\ y=2\end{array}$

When $x=2$

  $\begin{array}{l}y=2\left(2\right)\\ y=4\end{array}$

Graph is sketched as follows:

  

In order to validate that the relation is a function or not, draw any horizontal line that intersects the graph more than once.

There do no exists any horizontal line that intersects the graph more than once

Thus, the relation is a function.

Conclusion:

Hence, graph of equation is sketched and given relation is function.