Chapter 8.1, Problem 7E

To determine

To describe and correct:

The error in the given statement.

Answer to Problem 7E

The given relation is a function becausetwo x- values can have same out-put.

Explanation of Solution

Given:

A statement: The relation $(1,-5),(2,-5),(3,6),(4,11)$ is not a function because the inputs 1 and 2 are both paired with the out-put $-5$ .

Calculation:

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

We also know that for a relation to be a function, one x- value cannot have two y -values, while two x- values can have same y- value.

Since 1 and 2 represent two different x -values (inputs), so they can have the same outputs.

Therefore, our given relation is a function.