Q4. - Algebra 2

Question

Determine whether each relation is a function. Write yes or no.

Step-by-Step Solution

Answer

Yes, the given relation is a function.

Step 1 – Definition of function.

A relation is a function if each element of the domain is paired with exactly one element of the range.

A relation is not a function if there exist an element in the domain paired with more than one element of the range.

Step 2 – Given information.

The given arrow diagram of a relation is:

Step 3 – Check whether the relation is function or not.

The set notation of the given relation is $\left\{\left(3,1\right),\left(2,5\right),\left(-6,5\right)\right\}$.

In this relation $3$ is related to $1, 2$ is related to $5$ and $-6$ is related to $5$. Since each element of the domain is paired with exactly one element of the range, therefore the given relation is a function.

 Thus, the required answer is yes because the given relation is a function.