Question Analysis
This question tests the student's ability to determine the end behavior of a polynomial function as . The key is to recognize the influence of the leading term and its coefficient.
Key Concept Explanation
For a polynomial function, if the degree is odd and the leading coefficient is negative, the left end of the graph (as ) will go up.
Step-by-step Solution
1. Identify the degree of the polynomial: The degree is 3 (odd).
2. Identify the leading coefficient: The leading coefficient is -2 (negative).
3. Determine the end behavior: Since the degree is odd and the leading coefficient is negative, as
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