Limits at infinity are really exciting when we talk about graphing rational functions! They help us see how these functions act when we use very big or very small numbers.
Here’s why they are important:
End Behavior: Limits at infinity tell us how the graph looks as gets really big or really small. For example, the limit can show if the function gets close to a certain horizontal line. This line is called a horizontal asymptote!
Vertical Asymptotes: When the bottom part (denominator) of a rational function equals zero, it creates a vertical asymptote. The limits at these points help us understand how the function acts near these key spots, like when is close to a value , which is the asymptote.
Understanding these ideas will help you see rational functions on a graph more clearly! Isn’t that cool? 🌟
Limits at infinity are really exciting when we talk about graphing rational functions! They help us see how these functions act when we use very big or very small numbers.
Here’s why they are important:
End Behavior: Limits at infinity tell us how the graph looks as gets really big or really small. For example, the limit can show if the function gets close to a certain horizontal line. This line is called a horizontal asymptote!
Vertical Asymptotes: When the bottom part (denominator) of a rational function equals zero, it creates a vertical asymptote. The limits at these points help us understand how the function acts near these key spots, like when is close to a value , which is the asymptote.
Understanding these ideas will help you see rational functions on a graph more clearly! Isn’t that cool? 🌟