Martin Tyler
05/21/2023 · Senior High School
Find the vertical, horizontal, and oblique asymptotes, if any, of the given rational function. \( H(x)=\frac{x^{3}-64}{x^{2}-5 x+4} \) Find the vertical asymptotes. Select the correct choice and, if necessary, fill in the answer box(es) to A. The function has one vertical asymptote, \( \square \). (Type an equation. Use integers or fractions for any numbers in the equation.) B. The function has two vertical asymptotes. The leftmost asymptote is \( \square \) and the rightmost asy (Type equations. Use integers or fractions for any numbers in the equations.) C. The function has no vertical asymptote.
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The function has two vertical asymptotes at \( x = 1 \) and \( x = 4 \). There is no horizontal asymptote. The oblique asymptote is \( y = x + 5 \).
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