# Is {(1, 2); (2, 3); (3, 4); (4, 5)} a function?

Jul 18, 2018

Yes

#### Explanation:

We see that $y$ is always equal to one more than $x$, so we can model this with the equation

$y = x + 1$

We can even graph this:

graph{y=x+1 [-10, 10, -5, 5]}

This passes the Vertical Line Test (VLT), as we can draw a vertical line anywhere in the graph, and it intersects the graph once.

This tells us we're dealing with a function here.

Hope this helps!