Chapter 0.1, Problem 2E

To determine

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

Answer to Problem 2E

The domain of the each given relation is $\left(-6,5,9,-2\right)$ and the range of the each given relation is $\left(0,5,-2,-9\right)$ .

Yes, each given relation is function.

Explanation of Solution

Given information :

  $\left\{\left(-6,0\right),\left(5,5\right),\left(9,-2\right),\left(-2,-9\right)\right\}$

The domain of the each given relation is $\left(-6,5,9,-2\right)$ and the range of the each given relation is $\left(0,5,-2,-9\right)$ .

It can be seen that each given input has the unique output.

For example,

For x = −6, y = 7.

For x = 5, y = 10.

For x = 9, y = 6.

For x = −2, y = −9.

Therefore, yes, each given relation is function.