[Solution] The graph of y=f(x) has one horizontal asymptote and one vertical asymptote. Given the following information about the function f, state the


Question: The graph of \(y=f(x)\) has one horizontal asymptote and one vertical asymptote.

Given the following information about the function \(f\), state the equations of the asymptotes. \(\lim _{x \rightarrow 4} f(x)=2\)

\(\lim _{x \rightarrow-\infty} f(x)=3, \lim _{x \rightarrow \infty} f(x)=\infty\)

\(\lim _{x \rightarrow-9} f(x)\) DNE

\(\lim _{x \rightarrow 5^{-}} f(x)=8, \lim _{x \rightarrow 5^{+}} f(x)=-\infty\)

  1. The graph of \(y=f(x)\) has horizontal asymptote \(y=\)
  2. The graph of \(y=f(x)\) has vertical asymptote \(x=\)

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