Determine the end behavior of the polynomial function . As , .
Answer & Analysis
Analysis
Question Analysis
This question tests the student's understanding of the end behavior of a polynomial function with an even degree and a negative leading coefficient.
Key Concept Explanation
The end behavior of a polynomial function is determined by its leading term. For a polynomial with an even degree and a negative leading coefficient, both ends of the graph will point down.
Step-by-step Solution
1. Identify the degree of the polynomial: 4 (even).
2. Identify the leading coefficient: -6 (negative).
3. Since the degree is even and the leading coefficient is negative, as ,
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