Determining End Behavior of Polynomials

This lesson explains how to determine the end behavior of polynomials by comparing them to power functions. It covers the characteristics of power functions, the impact of even and odd powers on end behavior, and the effect of negative coefficients. The lesson also discusses how to determine the degree of a polynomial and provides examples to illustrate these concepts. The key takeaway is understanding how the highest degree term influences the polynomial's behavior as X approaches infinity or negative infinity.

What happens to the graph of a polynomial function when it is multiplied by a negative number?

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What is the significance of rewriting a polynomial in standard form?

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Describe how the degree of a polynomial influences its end behavior.

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Explain the difference between even and odd power functions in terms of their end behavior.

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How does the leading coefficient affect the end behavior of a polynomial function?

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How can you determine the end behavior of the polynomial F of X = X to the fifth minus three X squared plus 1?

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What is the end behavior of a polynomial when X approaches positive and negative infinity?

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