C

How many of the following functions have exactly two asymptotes? \[\] \(f(x)=\frac{-x^3+1}{(x-3)^2},\) \(h(x)=\left(\frac{x+2}{x-2}\right)^4,\) \(i(x)=-\frac{x^2}{x^2-2},\) \(g(x)=\sqrt{6x+2}\)

A function \(f\) is given by the formula \(f(x)=\frac{1+\ln{x}}{x^2-3}\). For the function \(f\) identify all vertical asymptotes.

A function \(f\) is given by the formula \(f(x)=\frac{3x^2-1}{x-2}\). For the function \(f\) identify a slant or horizontal asymptote.

The picture shows the part of the graph of a function \(f\). Choose the formula of the function \(f\) whose graph corresponds to this picture.