Graphing tools make it much easier to understand asymptotes and what happens at infinity in rational functions. Here’s why they are so useful:

• Seeing is Believing: When you look at a graph, you can spot vertical asymptotes. These are the spots where the function suddenly goes up or down. You can also see horizontal asymptotes, where the function starts to level off as $x$ gets really big.

• Learn by Doing: Many of these tools let you change numbers (called coefficients) right on the screen. This means you can see how those changes affect the graph right away. This hands-on experience helps you really understand the ideas better.

• Understanding Limits: Graphs make it easier to see limits when $x$ gets close to certain numbers. For example, with a function like $f(x) = \frac{1}{x-1}$, you can see that as $x$ gets closer to 1, $f(x)$ shoots up towards infinity.

In short, graphing tools turn complicated ideas about asymptotes and limits into something that’s much easier to understand!