Question
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Use the given function to complete parts (a) through (e) below.

a) Use the Leading Coefficient Test to determine the graph’s end behavior.
A. The graph of falls left and falls right.
B. The graph of rises left and falls right.
C. The graph of falls left and rises right.
D. The graph of rises left and rises right.

Ask by Erickson John. in the United States
Mar 29,2025

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Answer

The graph of rises left and rises right.

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Mind Expander

To analyze the end behavior of the function , we focus on the leading term, which is . Since the coefficient of is positive and the degree of the polynomial is even, the Leading Coefficient Test tells us that the graph will rise on both ends. Therefore, the correct choice is:
D. The graph of rises left and rises right.
It’s party time for the Polynomials! 🎉 When you have an even-degree polynomial with a positive leading coefficient, it’s like the left and right sides of the graph are raising their glasses for a toast, cheering as they both head up towards infinity!

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