Chapter 0, Problem 2PR

To determine

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

Answer to Problem 2PR

The domain of the each given relation is $\left(-2,3\right)$ and the range of the each given relation is $\left(-4,-2,0,2\right)$ .

No, each given relation is not a function.

Explanation of Solution

Given information:

  

From the diagram, the coordinates are given by $\left\{\left(-2,2\right),\left(-2,-4\right),\left(3,-2\right),\left(3,0\right)\right\}$

The domain of the each given relation is $\left(-2,3\right)$ and the range of the each given relation is $\left(-4,-2,0,2\right)$ .

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

For example,

For x = −2, y has two output values, that is, y = 2 and y = −4.

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