Algebra-2

To find which function exhibits the specified end behavior:

As

As

we analyze each polynomial based on its leading term's degree and coefficient.

Key Points:

1.Odd-Degree Polynomials: The ends will go in opposite directions. If the leading coefficient is positive, as ( ), ( ) and as ( ), ( ).

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

 

Analyzing Each Function:

A.

Degree: 6 (even)

Leading Coefficient: 1 (positive)

End Behavior:

As

As

Conclusion: Does not satisfy the condition.

 

B.

Degree: 3 (odd)

Leading Coefficient: -3 (negative)

End Behavior:

As

As

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