To find: The graph of intersect vertical and horizontal asymptote.
The graph of cannot intersect vertical asymptote and it may insect horizontal asymptote.
From Figure 1, it is clear that the graph of cannot intersect vertical asymptote and it may intersect horizontal asymptote.
To find: The possibility number of horizontal asymptotes in the graph.
There are one or two horizontal asymptotes in the graph or no horizontal asymptote also possible.
Generally, no horizontal asymptote for polynomial degree one or higher degree.
Generally, one horizontal for exponential functions.
Generally, two horizontal asymptotes for inverse tangent functions.
Therefore, horizontal asymptotes exists for and .
For the function cannot have more than two horizontal asymptotes.
Thus, from graphs it is observed that there is one or two horizontal asymptote in the graph or no horizontal asymptote also possible.
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