Question
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.
a) Use the Leading Coefficient Test to determine the graph’s end behavior.
A. The graph of
B. The graph of
C. The graph of
D. The graph of
Ask by Erickson John. in the United States
Mar 29,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The graph of
rises left and rises right.
Solution

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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!