Question

Determine whether each relation is a function. Explain.

Short answer

The given relation is not a function.

Step-by-step solution

Step 1. Domain and range of a function.

In a function domain is the set of input (x) values and the range is the set of output (y) values.

Step 2. definition of the function.

A relation is said to be a function of each element in the domain of the relationship that has a unique value in the range. That is, no element in the domain has more than one value in the range.

From the given graph, at$x=0\Rightarrow y=1,6$

Step 3. Interpreting the graph.

A single input, we have two outputs.

Therefore, the given relation is not a function.