Question

Determine whether each relation is a function. Explain.

Short answer

The given relation is a function.

Step-by-step solution

Step 1. Definition of function.

A function is defined as the relation between two sets that maps elements of the first to a unique element of the second set.

Step 2. Concept Used.

And it is denoted as $f:A\to B$which shows that function f maps every element of set A to a unique element of set B.

Step 3. Explanation.

In the given graph, if we draw a vertical line at any point, the line will intersect one and only one point in each case.

Since each element of the domain has a unique value in the range, the relation is a function.

Thus, the given relation is a function.