The horizontal asymptote of the rational functionis.
Answer & Analysis
Analysis
Question Analysis
This problem tests the understanding of how to determine the horizontal asymptote of a rational function by comparing the degrees of the numerator and the denominator.
Key Concept Explanation
The horizontal asymptote of a rational function depends on the degrees of the polynomials in the numerator and the denominator. If the degrees are the same, the horizontal asymptote is the ratio of the leading coefficients.
Step-by-step Solution
1. Identify the degrees of the numerator and the denominator: both are 3
2. Compare the leading coefficients: the leading coefficient of the numerator is 7, and the leading coefficient of the denominator is 4
3. Determine the horizontal asymptote:
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