Question Analysis
This question tests the student's understanding of the end behavior of a polynomial function, specifically focusing on the leading term and the sign of the leading coefficient.
Key Concept Explanation
The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient. For an even degree with a negative leading coefficient, both ends of the graph go down.
Step-by-step Solution
1. Identify the degree of the polynomial: 8 (even).
2. Identify the leading coefficient: -4 (negative).
3. Since the degree is even and the leading coefficient is negative, as ,
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