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Question

How do i find horizontal asymptotes?

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Jackson

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Answer

To find horizontal asymptotes, follow these steps:1. Analyze the given function and identify its degree (highest power of the variable) in both the numerator and the denominator.2. Compare the degrees of the numerator (n) and the denominator (m).- If n < m, the horizontal asymptote is y = 0.- If n = m, divide the leading coefficients (the coefficients of the highest power terms) to find the horizontal asymptote: y = (leading coefficient of numerator) / (leading coefficient of denominator).- If n > m, there is no horizontal asymptote. However, there might be a slant or oblique asymptote.3. Graph the function to visually confirm the horizontal asymptote(s).

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