When I try to memorize the end behavior of the graphs Remember *Dodd* Degree Is Odd, Dodd the kid is odd and his arms are always one way and the other. Graphs that have positive leading coefficient go have a positive correlation. So it resembles the y = 2x. It has the same end behavior as odd degree and positive leading coefficient. The odd degree and negative coefficient is like the y = -2x linear equation. Even neg is going down on both Even positive is positive up
I can identify if the problem is a polynomial degree or not, I also know the different parts like the degree and if it's quadratic, linear, quartic, constant, and cubic.