Chapter 0, Problem 2PO

To determine

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

Answer to Problem 2PO

The domain of the each given relation is $\left(-4,-2,1,2,\right)$ and the range of the each given relation is $\left(-3,-1,1,2,3,\right)$ .

No, each given relation is not a function.

Explanation of Solution

Given information:

  

From the graph, the coordinates are given by $\left\{\left(1,1\right),\left(2,3\right),\left(-2,2\right),\left(-2,-1\right),\left(-4,-3\right),\left(2,-1\right)\right\}$

The domain of the each given relation is $\left(-4,-2,1,2,\right)$ and the range of the each given relation is $\left(-3,-1,1,2,3,\right)$ .

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 = −1.

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