Question Analysis
This question evaluates the student's ability to determine 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 influenced by the degree and the sign of the leading coefficient. For an even-degree polynomial with a negative leading coefficient, as , the function values go to .
Step-by-step Solution
1. Identify the degree of the polynomial: The degree is 4 (even).
2. Identify the leading coefficient: The leading coefficient is -6 (negative).
3. Apply the end behavior rule for even-degree polynomials with a negative leading coefficient: As
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