Determine end behavior of a polynomial

The video tutorial explains how to determine the end behavior of a polynomial function. It starts by identifying the degree and leading coefficient of the polynomial, then discusses how these factors influence the end behavior of the graph. The tutorial explains that for odd degrees, the graph can either fall left and rise right or rise left and fall right, depending on the sign of the leading coefficient. A positive leading coefficient results in the graph falling left and rising right. The video concludes with a formal representation of end behavior using infinity notation.

Explain the significance of the degree being odd in the context of the polynomial function's end behavior.

What happens to the graph of the polynomial function as x approaches positive infinity?