Chapter 0.1, Problem 7E

To determine

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

Answer to Problem 7E

The domain of the each given relation is $\left(-1,0,1,2,3\right)$ and the range of the each given relation is $\left(-3,-2,-1,2,3,4\right)$ .

No, each given relation is not a function.

Explanation of Solution

Given information:

  

From the graph, the coordinates are given by $\left\{\left(1,2\right),\left(2,3\right),\left(3,4\right),\left(1,-1\right),\left(0,-2\right),\left(-1,-3\right)\right\}$

The domain of the each given relation is $\left(-1,0,1,2,3\right)$ and the range of the each given relation is $\left(-3,-2,-1,2,3,4\right)$ .

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

For example,

For x = 1, y has two output values, that is, y = 2 and y = −1.

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