How do you find the vertical, horizontal and slant asymptotes of: #f(x)= x^(1/3)#?

1 Answer
Jun 26, 2018

Answer:

No vertical asymptotes as all values of #x# are valid in #f(x)#

No slant asymptotes as not a quotient.

No horizontal asymptote.

Explanation:

Our function #f# is continuous and therefore has no vertical asymptotes.

No slant asymptotes as not a quotient.

Horizontal asymptote when #lim_(x->-oo)= k lim_(x->oo)=k # where# k cancel= -oo,oo#

#lim_(x->00) x^(1/3)=oo#

No horizontal asymptote.