These occur at specific values where the function can't exist (like dividing by zero). The curve shoots up or down toward infinity as it nears this "forbidden" line.
Asymptotes typically show up in functions involving fractions or exponents where certain values are undefined. Definition of Asymptotes
These describe the "long-term" behavior of a function. As you move far to the left or right on a graph, the curve levels out and gets closer to a specific horizontal value. These occur at specific values where the function