Question

Tell whether the relation represented by the graph is a function.

Short answer

The relation represented by the graph isnot a function.

Step-by-step solution

Step 1. Given Information.

A graph of a relation:

Step 2. Calculation.

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

That is for a relation to be a function, one x-value cannot have two y-values, while two x-values can have same y-value.

Upon looking at our given graph, we can see that for $x=0,1\text{and 2}$, there are two corresponding y-values.

Step 3. Conclusion.

Since there are two outputs for one input, therefore, the given relation is not a function.