Chapter 8, Problem 1PT

To determine

To find: whether the given relation is a function

Answer to Problem 1PT

The relation $\left\{\left(7,0\right),\left(9,3\right),\left(11,1\right),\left(13,0\right)\right\}$ is function

Explanation of Solution

Given:

Consider the relation:

  $\left\{\left(7,0\right),\left(9,3\right),\left(11,1\right),\left(13,0\right)\right\}$

Calculation:

The relation is said to be function if each domain value is paired with only one range value. Since, in the relation $\left\{\left(7,0\right),\left(9,3\right),\left(11,1\right),\left(13,0\right)\right\}$ every element of x has unique value of y Conclusion:

Therefore, the relation $\left\{\left(7,0\right),\left(9,3\right),\left(11,1\right),\left(13,0\right)\right\}$ is function.