Chapter 8.8, Problem 5E

To determine

To find: Thedomain and the range of the relation and whether the given relation is a function or not.

Answer to Problem 5E

The domain of the given relation is $\left\{-2,-1,1,2\right\}$ , the range of the given relation is $\left\{1,4\right\}$ , and the given relation isa function.

Explanation of Solution

Given information:

The given relation is,

  $\left\{\left(-1,1\right),\left(1,1\right),\left(2,4\right),\left(-2,4\right)\right\}$

The domain of the given relation is $\left\{-2,-1,1,2\right\}$ and the range of the given relation is $\left\{1,4\right\}$ .

A relation is said to be a function if x -co-ordinate is paired with exactly one y -co-ordinate. In this relation x -co-ordinate is paired with exactly one y -co-ordinate, so the given relation is a function.

Hence, the given relation is a function.