Determining the End Behavior of Polynomial Functions

The video tutorial explains the end behavior of polynomial functions by examining the relationship between the polynomial's leading term and its overall behavior as x approaches positive and negative infinity. It discusses how the degree and coefficient of terms affect the graph, particularly focusing on monomial functions and polynomials with multiple terms. The tutorial emphasizes that the leading term, which has the highest degree, dictates the end behavior of the polynomial. Through examples, it illustrates how different terms contribute to the graph's behavior, ultimately concluding that the leading term is the primary determinant of a polynomial's end behavior.

Explain how the degree and coefficient of a polynomial term influence its end behavior.

What can be concluded about the end behavior of a polynomial with multiple terms?