The end behavior of the polynomial as is and as is .
Answer & Analysis
Analysis
Question Analysis
This question tests the understanding of the end behavior of a polynomial, specifically focusing on the leading term and its coefficient.
Key Concept Explanation
The end behavior of a polynomial is determined by the leading term, which is the term with the highest degree. The sign of the leading coefficient and the parity (odd or even) of the degree dictate the end behavior.
Step-by-step Solution
1. Identify the leading term: The leading term of is .
2. Determine the degree and the leading coefficient: The degree is 7 (odd), and the leading coefficient is -16 (negative).
3. Apply the end behavior rules:
For odd degree and negative leading coefficient, as , .
For odd degree and negative leading coefficient, as
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