Question Analysis
This question tests the understanding of the end behavior of a polynomial function based on its leading term.
Key Concept Explanation
The end behavior of a polynomial is determined by the leading term, which is the term with the highest degree. The sign of the leading coefficient and the parity (even or odd) of the degree dictate the end behavior.
Step-by-step Solution
1. Identify the leading term: The leading term is , with a leading coefficient of 3 and an even degree of 6.
2. Determine the end behavior for positive infinity: Since the leading coefficient is positive and the degree is even, as
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