Q68. - Algebra 1

Question

Determine whether each relation is a function

$\left\{\left(8,4\right),\left(6,3\right),\left(4,2\right),\left(2,1\right),\left(0,0\right)\right\}$

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, $8$ is related to $4$ and $6$ is related to $3$ and $4$ is related to $2$ and $2$ is related to $1$, and $0$ is related to $0$

Step 3. Conclusion.

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