Definition Of Asymptotes -

These happen when a graph approaches a diagonal line rather than a flat one.

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.

Asymptotes typically show up in functions involving fractions or exponents where certain values are undefined.

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.

Getting closer and closer but never quite meeting—it’s not just a math concept; it’s a mood. In geometry, an is a straight line that a curve approaches indefinitely. Even as they stretch toward infinity, the distance between them shrinks toward zero, yet they never "fall together". The Three Types of "Almost"