Chapter 8.1, Problem 20E

To determine

Whether the givenrelation represented by the graph is a function or not.

Answer to Problem 20E

The relation represented by the graph is not a function.

Explanation of Solution

Given:

A graph of a relation:

Calculation:

We know that a relationship will be a function, when each input in the domain has exactly one specific corresponding output.

That is for a relation to be a function, one x- value cannot have two y -values, while two x- values can have same y- value.

Upon looking at our given graph, we can see that for $x=0,1\text{ and 2}$ , there are two corresponding y -values.

Since there are two outputs for one input, therefore, the given relation is not a function.