Chapter 0, Problem 1PO

To determine

the domain and range of each given relation and whether each relation is a function.

Answer to Problem 1PO

The domain of the each given relation $\left(0,4,5,7\right)$ and the range of the each given relation $\left(-2,-1,5,9,12\right)$ .

No, each given relation is not a function.

Explanation of Solution

Given information:

  $\left\{\left(4,5\right),\left(5,-1\right),\left(0,12\right),\left(0,-2\right),\left(7,9\right)\right\}$

The domain of the each given relation $\left(0,4,5,7\right)$ and the range of the each given relation $\left(-2,-1,5,9,12\right)$ .

It can be seen that each given input has not the unique output.

For example,

For x = 0, y = 12 or y = −2.

Therefore, no, each given relation is not a function.