WebEnd behavior of the function : Graph of the function : Even : Positive : f (x) → + ∞, as x → − ∞ f (x) → + ∞, as x → + ∞: Example: f (x) = x 2. Even : Negative : f (x) → − ∞, as x → − ∞ f (x) → − ∞, as x → + ∞: Example: f …

WebBasic rules. With end behavior, the only term that matters with the polynomial is the one that has an exponent of largest degree. For example, if you have the polynomial 5x^4 + 12x^2 - 3x , 5x4 +12x2 −3x, …

WebLearn how to identify and describe the end behavior of polynomial functions based on their degree and leading coefficient. See examples, videos, and exercises on polynomial functions and their graphs.

WebNov 21, 2023 · Learn how to describe and find the end behavior of a function, which is how it behaves as the input variable approaches infinity or a limit. See examples of polynomials, power functions, and …

WebAs we have already learned, the behavior of a graph of a polynomial function of the form. f (x) = anxn +an−1xn−1+… +a1x+a0 f ( x) = a n x n + a n − 1 x n − 1 + … + a 1 x + a 0. will either ultimately rise or fall as x …