So,
First of all, what do horizontal asymptotes are?
Horizontal Asymptotes define the right-end and left-end behaviors on the graph of a function. An asymptote is a line that a graph approaches without touching. Similarly, horizontal asymptotes occur because "y" can come close to a value, but can never equal that value.
In this case, we're given to identify the horizontal asymptotes of the function:
Graphing this function:
This function has not any horizontal asymptotes because we can notice it in the graph.
When a graph has any horizontal asymptotes, it would look something like:
As you can see, the function approximates to a value closer to the lines but it never touches it.
In the graph of our example, we can't see any thing like this happening, so there's not any horizontal asymptote.