$[-/1$ Points$]$

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$$ SCALCET$92\mathrm{.}6\mathrm{.}057.$EP$.$

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Consider a rational function $f$ that satisfiei the following conditions.

$\underset{x-}{lim}f(x)=0,\underset{x0}{lim}f(x)=-,f(3)=0,$

$\underset{x{0}^{-}}{lim}f(x)=-,\underset{x{0}^{}}{lim}f(x)=-$;

Find the factors of the denominator of $f$ corresponding to the vertical asymptotes. $($Enter your answers as a commaseparated list. Inter at least one expression for each vertical asymptote.$)$

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Find the factors of the mumerator of $f$ corresponding to the $x-$intercepts. $($Enter your answers as a comma$-$separated lige. Enter as ieast one expression for each $x-$intercept.$)$

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Which of the following must be true?

The degrees of the numerator and the denominator are equal.

The degree of the numerator is greater than the degree of the denominator.

The degree of the denominator is greater than the degree of the numerator.

Find an pquation for $f.$

$F(x)=$