Question

the following figure shows the entire graph of a relationship.
does the graph represent a function?
choose 1 answer:
a yes
b no

Explanation:

Step1: Recall the vertical line test

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

Step2: Apply the vertical line test to the given graph

The graph is a vertical line. A vertical line (other than \(x = a\) where it's a function? No, wait: a vertical line \(x = c\) will have infinitely many \(y\)-values for the same \(x\)-value \(c\). So when we apply the vertical line test, this vertical line graph will have a vertical line (itself) intersecting it at infinitely many points. So it fails the vertical line test.

Answer:

B. No