Question 1153150: How do you know if the end behaviors of a graph will be going in the same or different directions? Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website! end behavior of a graph is determined by the value of x when x approaches
positive infinity and when x approaches negative infinity.
it turns out that the leading coefficient and whether the exponent is odd or even determines the end behavior.
as the value of x in either direction is controlled by the term that has the highest value exponent, that term controls the end behavior.