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