Why does the function $f(x) = \frac{1}{x}$ have a vertical asymptote at $x=0$?

Because the function is undefined at $x=0$.

Because the value of the function is 0 at $x=0$.

Because the numerator of the function is 1.

Because the graph also has a horizontal asymptote.

Consider the function $f(x) = \frac{1}{x}$. What happens to the value of $f(x)$ as $x$ gets very close to 0 from the positive side, like $x=0.02$?

It becomes a large positive number.

It becomes a small negative number.

A very large number close to infinity