Question Analysis
This question evaluates the student's understanding of the end behavior of a polynomial function with an even degree and a positive leading coefficient.
Key Concept Explanation
For even-degree polynomials, if the leading coefficient is positive, both ends of the graph go up. If the leading coefficient is negative, both ends go down.
Step-by-step Solution
1. Identify the degree of the polynomial: The degree is 8 (even).
2. Identify the leading coefficient: The leading coefficient is 4 (positive).
3. Determine the end behavior: Since the degree is even and the leading coefficient is positive, as ,
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