End Behavior of Polynomials
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EVEN degree, NEGATIVE leading coefficient
down, down falls left, falls right x -> -∞, f(x) -> -∞ x -> ∞, f(x) -> ∞
ODD degree, POSITIVE leading coefficient
down, up falls left, rises right x -> -∞, f(x) -> -∞ x -> ∞, f(x) -> ∞
ODD degree, NEGATIVE leading coefficient
up, down rises left, falls right x -> -∞, f(x) -> -∞ x -> ∞, f(x) -> ∞
EVEN degree, POSITIVE leading coefficient
up, up rises left, rises right x -> -∞, f(x) -> -∞ x -> ∞, f(x) -> ∞