Return to Assignments Fractional functions and graphs

### Assignment 8

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

The function looks like a fraction but actually it is not. We can simplify the function:

voor

Actually the function is a straight line which is not defined for . However, we can see:

The graph of the original function is actually a straight line with a small 'hole' for . At the same time we know that the function approaches if approaches (either from the left or the right) .