Flashcard Polynomial Functions

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What is the end behavior of a polynomial function?

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The end behavior of a polynomial function describes how the function behaves as the input values approach positive or negative infinity. It is determined by the leading term of the polynomial.

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How do you determine the leading coefficient of a polynomial?

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What is the maximum number of turns a polynomial graph can have?

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The maximum number of turns a polynomial graph can have is one less than the degree of the polynomial. For example, a cubic polynomial can have a maximum of 2 turns.

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What does the leading-term test involve?

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The leading-term test involves analyzing the leading term of a polynomial to determine the end behavior and the general shape of its graph.

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What is the significance of the leading coefficient in determining end behavior?

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The leading coefficient determines whether the ends of the graph rise or fall. If it is positive, the right end rises; if negative, the right end falls.

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What is the relationship between the degree of a polynomial and the number of x-intercepts?

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