Return to Assignments Fractional functions and graphs

### Assignment 1

Given the function:

Find:

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.

### Solution

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.