Question

look at this graph:
is this relation a function?
yes \t\t no

Explanation:

Step1: Recall the definition of a function

A relation is a function if for every \(x -\) value there is exactly one \(y -\) value.

Step2: Check the vertical line test

The vertical line test states that if a vertical line can be drawn that intersects the graph of the relation at more than one point, then the relation is not a function. In this case, since each \(x -\) value (there are three distinct \(x -\) values for the three points) has only one corresponding \(y -\) value, the vertical line test is passed.

Answer:

yes