Question

does the relation shown below define a function? no yes

Explanation:

Step1: Recall the vertical line test

A relation is a function if every vertical line intersects the graph at most once.

Step2: Analyze the given graph

The graph appears to be a vertical line (since it's a straight line parallel to the y - axis). For a vertical line \(x = a\) (where \(a\) is a constant), a vertical line drawn at \(x=a\) will intersect the graph infinitely many times (or more than once). So, by the vertical line test, this relation is not a function.

Answer:

No