Exploring the End Behavior of Polynomials

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10 Terms

1
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What is the end behavior of a polynomial function with a leading coefficient greater than 0 and an even degree?

As x approaches positive or negative infinity, the polynomial approaches positive infinity.

2
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What is the end behavior of a polynomial function with a leading coefficient less than 0 and an odd degree?

As x approaches positive infinity, the polynomial approaches negative infinity, and as x approaches negative infinity, the polynomial approaches positive infinity.

3
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What can Mia conclude about the end behavior of her degree 4 polynomial?

As x approaches positive or negative infinity, the polynomial approaches negative infinity.

4
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What is the end behavior of a degree 5 polynomial function with a positive leading coefficient as x approaches positive and negative infinity?

As x approaches positive infinity, the polynomial approaches positive infinity; as x approaches negative infinity, the polynomial approaches negative infinity.

5
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What is the end behavior of a polynomial function with an odd degree and a positive leading coefficient?

As x approaches positive infinity, the polynomial approaches positive infinity, and as x approaches negative infinity, the polynomial approaches negative infinity.

6
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What is the end behavior of a degree 6 polynomial function with a leading coefficient of -1?

As x approaches positive infinity, the polynomial approaches negative infinity; as x approaches negative infinity, the polynomial also approaches negative infinity.

7
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What is the end behavior for a degree 7 polynomial with a negative leading coefficient?

As x approaches positive infinity, the polynomial approaches negative infinity, and as x approaches negative infinity, the polynomial approaches positive infinity.

8
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What is the end behavior of a polynomial function with a positive leading coefficient and an even degree?

As x approaches positive infinity, the polynomial approaches positive infinity; as x approaches negative infinity, the polynomial also approaches positive infinity.

9
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What is the end behavior of a polynomial function with a degree of 9 and a positive leading coefficient?

As x approaches positive infinity, the polynomial approaches positive infinity; as x approaches negative infinity, the polynomial also approaches negative infinity.

10
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What is the end behavior of a degree 8 polynomial function with a negative leading coefficient?

As x approaches positive infinity, the polynomial approaches negative infinity; as x approaches negative infinity, the polynomial also approaches negative infinity.