To analyze the end behavior of the function
we will examine the leading term, which is key to 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 7, which is odd.
2.Leading Coefficient: The leading coefficient (the coefficient of the highest degree term) is 3, which is positive.
Step 3: Analyze End Behavior
As