Algebra-2

To determine which function has the specified end behavior:

As

As

we analyze the leading terms of each polynomial based on their degree and leading coefficient.

Key Points:

1.Odd-Degree Polynomials: The ends will go in opposite directions.

2If the leading coefficient is negative, as ( ), ( ) and as ( ), ( ).

3.Even-Degree Polynomials: Both ends will go in the same direction.

 

Analyzing Each Function:

A.

Degree: 2 (even)

Leading Coefficient: -4 (negative)

End Behavior:

As

As

Conclusion: Does not satisfy the condition.

 

B.

Degree: 4 (even)

Leading Coefficient: 2 (positive)

End Behavior:

As

As

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