End Behavior Of Polynomials

End Behavior Of Polynomials Polynomial end behavior is the direction the graph of a polynomial function goes as the input value goes quot to infinity quot on the left and right sides of the graph There are four possibilities as shown below

Identify the degree and leading coefficient of polynomial functions Describe the end behavior of a polynomial function Explains how to recognize the end behavior of polynomials and their graphs Points out the differences between even degree and odd degree polynomials and between polynomials with negative versus positive leading terms

End Behavior Of Polynomials

End Behavior Of Polynomials

End Behavior Of Polynomials
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Identifying End Behavior of Polynomial Functions Knowing the leading coefficient and degree of a polynomial function is useful when predicting its end behavior To determine its end behavior look at the leading term of the polynomial function To determine the end behavior of a polynomial function The leading coefficient determines whether the right side of the graph the positive x side goes up or down Polynomials with positive leading coefficient have y rightarrow infty as x rightarrow infty text

Learn what the end behavior of a polynomial is and how we can find it from the polynomial s equation Sal explains what quot end behavior quot is and what affects the end behavior of polynomial functions

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Oct 22 2024 nbsp 0183 32 End Behavior The behavior of a function as x 177 is called the function s end behavior At each of the function s ends the function could exhibit one of the following types of behavior The function f x approaches a horizontal This is officially called the quot End Behavior Model quot Even exponents behave the same above or equal to 0 go through 0 0 1 1 and 1 1 larger values of n flatten out near 0 and rise more sharply Turning points there are quot Degree 1 quot or less

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