Question

Represent the relation as a graph and as a mapping diagram. Then tell whether the relation is a function. Explain your reasoning.

Short answer

The given relationis a function.

Step-by-step solution

Step 1. Given Information.

A relation:

Step 2. Calculation.

Upon graphing our given relation, we will get our required graph as shown below:

The mapping diagram of our given relation would look like:

We know that a relationship will be also a function, when each input in the domain has exactly one specific corresponding output.

We know that for a relation to be a function, one x-value cannot have two y-values, while two or more x-values can have same y-value.

Upon looking at our given ordered pairs, we can see that each x-value corresponds to a specific y-value.

Step 3. Conclusion.

The given relation is a function.