Algebra-2

To determine which function has the specified end behavior:

As

As

we need to analyze the leading term of each function. The key points are:

1.The degree of the polynomial: If the degree is odd, it can potentially have the desired behavior depending on the leading coefficient.

2.The leading coefficient: A positive leading coefficient for odd-degree polynomials will yield the desired end behavior.

 

Let's analyze each function:

A.

Degree: 3 (odd)

Leading coefficient: 2 (positive)

End behavior:

As

As

 

B.

Degree: 2 (even)

Leading coefficient: -4 (negative)

End behavior:

As

As

 

C.

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