Given f(x)=- Find the domain of the function. Find the horizontal asymptote. Find the vertical asymptote. Find x and y-intercept. Find the hole(s).
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For the given rational function $f$ : $\bullet$Find the domain of $f$. $\bullet$Identify any vertical asymptotes of the graph of $y=f(x)$ $\bullet$Identify any holes in the graph. $\bullet$Find the horizontal asymptote, if it exists. $\bullet$Find the slant asymptote, if it exists. $\bullet$Graph the function using a graphing utility and describe the behavior near the asymptotes. $$f(x)=\frac{x}{x^{2}+1}$$
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Find the domain of the given function $f$. Find the $x$ -intercept and the vertical asymptote of the graph. Sketch the graph of $f$. $$ f(x)=-\ln x $$
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