End behavior when it doesn't exist

The video tutorial explains the concept of end behavior in graphs, focusing on how graphs behave as they extend towards the right or left. It discusses scenarios where graphs approach positive or negative infinity, or a horizontal asymptote. The tutorial emphasizes understanding graph behavior by zooming out and observing the direction in which the graph moves.

What are the possible outcomes for the end behavior of a graph?

How can we describe the end behavior of a graph that does not approach any value?