Polynomial End Behavior

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Degree: 4

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Leading Coefficient: 1

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Even

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f(-2) = 88

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What can we determine about the polynomial if it has an even degree and a positive leading coefficient?

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The graph will rise on both ends.

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What is the general form of a polynomial?

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What does the leading coefficient of a polynomial indicate about its end behavior?

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If the leading coefficient is positive, the graph rises to the right; if negative, it falls to the right.

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How can you determine if a polynomial is even or odd based on its degree?

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If the degree is even, the polynomial is even; if odd, it is odd.

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What is the end behavior of a polynomial with an odd degree and a positive leading coefficient?

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The graph falls to the left and rises to the right.