Q65. - Algebra 1

Question

Determine whether each relation is a function

Step-by-Step Solution

Answer

The given relation is a function.

Step 1. Definition of function.

A function is a relation in which each input has unique output.

Step 2. Ordered pairs belong to a given relation.

Here, $-3$ is related to $4$ and $-1$ is related to $3$ and $1$ is related to $2$ and $3$ is related to $1$ 

Therefore the ordered pair representation of given relation is $\left\{\left(-3,4\right),\left(-1,3\right),\left(1,2\right),\left(3,1\right)\right\}$ 

Step 3. Conclusion.

Here in the given relation as each input has unique output, therefore, the given relation is a function.