Comparing Polynomial and Exponential Growth: Tables and Graphs

The video tutorial explores the end behavior of polynomial and exponential functions as X approaches infinity. It compares their growth using tables and graphs, demonstrating that exponential functions eventually surpass polynomial functions. The tutorial highlights the need for advanced mathematics, like calculus, to fully understand these concepts, but provides a basic understanding through visual aids.

What happens to the values of Y as X approaches Infinity for polynomial functions with a positive leading coefficient?

What is the significance of the leading coefficient in determining the end behavior of polynomial functions?

How do polynomial functions and exponential functions compare in terms of growth as X approaches Infinity?

Based on the comparison of the functions y = X^3 and y = 2^X, what observations can be made about their growth rates?

Explain why exponential functions eventually exceed polynomial functions as X becomes very large.