Algebra-2

To determine which function exhibits the end behavior of:

As

As

we need to analyze the leading term of each polynomial based on its degree and leading coefficient.

Key Points

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

If the leading coefficient is positive, then as ( ), ( ) and as ( ), ( ).

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

 

Analyzing Each Function

A.

Degree: 4 (even)

Leading Coefficient: 2 (positive)

End Behavior:

As

As

Conclusion: Satisfies the condition.

 

B.

Degree: 6 (even)

Leading Coefficient: -7 (negative)

End Behavior:

As 

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