When we look at one-sided limits, graphs can show us some really cool things! 🌟 Let's find out how they help us understand functions better.

1. Seeing Behavior: Graphs let us watch what happens to $f(x)$ as $x$ gets closer to a certain number from the left ($\lim_{x \to a^{-}} f(x)$) or from the right ($\lim_{x \to a^{+}} f(x)$).

2. Finding Values: By looking at how high the graph is near a certain point, we can find out the limit's value—even if the function isn't even defined there!

3. Spotting Breaks: Graphs show us any jumps, holes, or lines that go straight up or down (called vertical asymptotes). These things can be missed if we only look at numbers.

With these awesome tools, students can really get a feel for limits while having fun exploring functions! 🎉 So keep graphing and check out those one-sided limits! 📈🥳