SOLUTION: How do you know if the end behaviors of a graph will be going in the same or different directions?

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.

here's a reference.

https://www.varsitytutors.com/hotmath/hotmath_help/topics/leading-coefficient-test

https://www.varsitytutors.com/hotmath/hotmath_help/topics/end-behavior-of-a-function
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