Part 5/6:
One interesting observation is how even-degree and odd-degree polynomials behave differently in their endpoints:
Even-degree: As the degree increases in an even-numbered polynomial (e.g., 2, 4), both ends of the graph (right and left) point in the same direction, either both up or both down.
Odd-degree: For odd-numbered polynomials (e.g., 1, 3, 5), the graph will exhibit opposite endpoint behaviors, where one end rises while the other falls.