Determine the end behavior of the polynomial function . As and , .
Answer & Analysis
Analysis
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 positive leading coefficient, both ends of the graph go up.
Step-by-step Solution
1. Identify the degree of the polynomial: 6 (even).
2. Identify the leading coefficient: 3 (positive).
3. Since the degree is even and the leading coefficient is positive, both ends of the graph go up.
4. Therefore, as and
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