Given the polynomial function , analyze its end behavior. As , .
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to determine the end behavior of a polynomial function, specifically for even-degree polynomials with a positive leading coefficient.
Key Concept Explanation
For an even-degree polynomial 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: 2 (positive).
3. Since the degree is even and the leading coefficient is positive, as ,
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