figuring out how rational functions behave as numbers get really big or really small can be tricky. There are a few things that make it tough:

1. Different Degrees: It's hard to compare the degrees of the top part (numerator) and the bottom part (denominator).

   • If the top part is higher, the function will get really big (or go to infinity).
   • If the bottom part is higher, the function will get smaller and get close to zero.

2. Leading Coefficients: The signs of the leading coefficients (the numbers in front of the highest degree terms) can change how the function behaves, adding to the confusion.

But don't worry! You can figure it out by doing these steps:

• Simplify the rational function.
• Look at the leading terms (the highest degree terms).
• Check what happens as x gets really big or really small.

Following these steps will help you understand how the function acts when looking at infinity.