Algebra-2

To determine which function has the specified end behavior:

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 will go in the same direction (either both up or both down).

2.Odd-Degree Polynomials: The ends will go in opposite directions (one up, one down).

3.Leading Coefficient:

A negative leading coefficient with an even degree will cause both ends to go to ().

A negative leading coefficient with an odd degree will cause one end to go to () and the other to go to ().

 

Analyzing Each Function:

A.

Degree: 6 (even)

Leading Coefficient: 2 (positive)

End Behavior:

As

As  

 

B.

Degree: 3 (odd)

Leading Coefficient: -4 (negative)

End Behavior:

As

As  

 

C.

Click "Show Answer" to reveal the answer and analysis