How do you find the vertical, horizontal or slant asymptotes for #f(x)=x(x+2)^3#?

Related questions

• What is an asymptote?
• What are some examples of functions with asymptotes?
• How do asymptotes relate to boundedness?
• Why do some functions have asymptotes?
• What are the vertical asymptotes of #f(x) = (2)/(x^2 - 1)#?
• Is the x-axis an asymptote of #f(x) = x^2#?
• Where are the vertical asymptotes of #f(x) = tan x#?
• Where are the vertical asymptotes of #f(x) = cot x#?
• How do I find the vertical asymptotes of #f(x)=tan2x#?
• How do I find the vertical asymptotes of #f(x) = tanπx#?