How do you find the vertical, horizontal and slant asymptotes of: $f (x) = x^{\frac{1}{3}}$ $f(x)= x^(1/3)$ ?

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Answer 1 · 2018-06-26T06:59:11

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

No slant asymptotes as not a quotient.

No horizontal asymptote.

Our function $f$ $f$ 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.

How do you find the vertical, horizontal and slant asymptotes of: f(x)= x^(1/3)f(x)=x13f(x)= x^(1/3)?