A graphing device is recommended. Graph the rational function \( f \). \[ f(x)=\frac{2 x^{2}+10 x+10}{x+5}, g(x)=2 x \] Determine all vertical asymptotes from your graph. (Enter your answers as a comma-separated list of equations.)

To find the vertical asymptotes of the function \( f(x) = \frac{2x^{2} + 10x + 10}{x + 5} \), you need to identify where the denominator is equal to zero, since that is where the graph will approach infinity. Setting the denominator \( x + 5 = 0 \) gives you \( x = -5 \). Therefore, the vertical asymptote is the line \( x = -5 \). Additionally, as you graph the function, you'll notice how the behavior near the vertical asymptote influences the overall shape of the curve. Understanding these boundaries helps in sketching the function accurately.