Given the function:
the vertical asymptote;
the horizontal asymptote;
the intersection point with the -as if it exists;
the intersection point with the -as if it exists.
Based on these results sketch the result in the figure.
This is the easiest fractional function. The vertical asymptote is . We find the horizontal asymptote by investigating the line to which the graph approaches when or and that is . From this results we may conclude that there are no intersection points with either the - or the -axis
The graph is depicted in the following figure.