How do you find vertical, horizontal and oblique asymptotes for #f(x)= x^(1/3)#?

1 Answer
Mar 29, 2016

Your function can be called the cube root function. Here is the graph: my screenshot5


This function does not have any asymptotes. It has some nice rotational symmetry, because it is an "odd" function. It is the inverse of #f(x)=x^3# which means that its graph would be a reflection across the line y = x. If you wish to investigate asymptotes for functions, perhaps take a look at "Rational" functions.