How to determine the degree and leading coefficient given the graph of a polynomial

The video tutorial discusses how to identify the degree and sign of the leading coefficient in polynomial functions by analyzing graph behavior. It emphasizes that the appearance of the graph does not affect its end behavior. The tutorial explains that graphs with the same end behavior will have the same degree and sign of the leading coefficient. The degree is even if the graph falls to the left and right, and the leading coefficient is negative. Students are encouraged to refer to their notes for understanding these concepts.

What does it mean for a graph to have the same end behavior, and how can you identify this?

Explain the relationship between the sign of the leading coefficient and the behavior of the graph.