Algebra-2

To analyze the end behavior of the function

we will focus on the leading term, which is essential in determining how the function behaves as ( x ) approaches infinity.

Step 1: Identify the Leading Term

The leading term in the polynomial is

Step 2: Determine the Degree and Leading Coefficient

1.Degree: The degree of the polynomial is 6, which is even.

2.Leading Coefficient: The leading coefficient (the coefficient of the highest degree term) is 4, which is positive.

Step 3: Analyze End Behavior

As

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