Find the slant asymptote and select the graph of the function \( f(x)=\frac{x^{2}+4}{x} \)

To find the slant asymptote of the function \( f(x)=\frac{x^{2}+4}{x} \), we can perform polynomial long division. Dividing \( x^2 + 4 \) by \( x \) gives us \( x + \frac{4}{x} \). As \( x \) approaches infinity, the term \( \frac{4}{x} \) approaches 0. Thus, the slant asymptote is \( y = x \). For the graph of the function, you would look for a graph that approaches the line \( y = x \) as \( x \) goes to positive or negative infinity.