Q67. - 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, $-2$ is related to $4$ and $-1$ is related to $1$ and $1$ is related to $1$ and $2$ is related to $4$,

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

Step 3. Conclusion.

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