Chapter 0.1, Problem 8E

To determine

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

Answer to Problem 8E

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

Yes, each given relation is a function.

Explanation of Solution

Given information:

  

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

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

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

For example,

For x = 1, y = 1.

Therefore, yes, each given relation is a function.