For the following functions, use "x" to indicate that the $x$-axis is an asymptote, "h" to indicate a horizontal asymptote other than the $x$ axis, "v" to indicate a vertical asymptote, "s" to indicate a slanted asymptote, and "n" the lack of an asymptote. If the graph of a function has several types of asymptotes indicate them all in alphabetical order.
For example, the function $$f(x) = \frac{x^3}{x^2-1}$$ has a slanted asymptote since the degree of the numerator is one more than the degree of the denominator, and it also has two vertical asymptotes (at $x=\pm1$). So you would enter "sv" (without the double quotation marks. The graph of $$f(x) = \frac{1}{x}$$ has vertical asymptote (the $y$-axis) and the $x$-axis as an asymptote, so you would enter "vx". On the other hand, the graph of $$f(x) = \frac{x^3}{x^2+1}$$ has only a slanted asymptote, so you would enter just "s".

$f(x) = \frac{1}{x}.$
$f(x) = \frac{x^3}{x^2-1}.$
$f(x) = \frac{x^3}{x^2+1}.$
To make this clear the following picture shows the graphs involved:

It may not be clear from the picture that the green graph (of $f(x) = \frac{x^3}{x^2+1}$ has a slanted asymptote, to make this clearer the Figure also contains the (red) graph of its asymptote defined by the equation $y=x$. The yellow graph is the graph of $f(x) = \frac{x^3}{x^2-1}$, the blue graph is the graph of $f(x) = \frac{1}{x}.$