Question Analysis
This question assesses the student's ability to determine the end behavior of a polynomial function with an odd degree and a negative leading coefficient.
Key Concept Explanation
For odd-degree polynomials, if the leading coefficient is positive, the left end goes down and the right end goes up. If the leading coefficient is negative, the left end goes up and the right end goes down.
Step-by-step Solution
1. Identify the degree of the polynomial: The degree is 7 (odd).
2. Identify the leading coefficient: The leading coefficient is -2 (negative).
3. Determine the end behavior: Since the degree is odd and the leading coefficient is negative, as ,
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