What is the asymptotes of f(x)=(x^3)/(x^2-16) ?

The asymptotes of f(x)=(x^3)/(x^2-16) is Vertical: x=-4,x=4,Slant: y=x

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asymptotes of f(x)=(x^3)/(x^2-16)

asymptotes

f (x) = \frac{x ^{3}}{x ^{2} - 16}

Vertical : x = - 4, x = 4, Slant : y = x

Solution steps

Vertical asymptotes of

\frac{x ^{3}}{x ^{2} - 16} : x = - 4, x = 4

Horizontal Asymptotes of

\frac{x ^{3}}{x ^{2} - 16} :

None

Slant Asymptotes of

\frac{x ^{3}}{x ^{2} - 16} : y = x

Vertical : x = - 4, x = 4, Slant : y = x

f (x) = \frac{x ^{3}}{x ^{2} - 49}

- 8 \frac{x}{( x ^{2} - 4 )}

f (x) = x + \frac{32}{x ^{2}}

f (x) = x^{2} - 2 x - 15

\frac{2 x - 1}{x}

What is the asymptotes of f(x)=(x^3)/(x^2-16) ?
The asymptotes of f(x)=(x^3)/(x^2-16) is Vertical: x=-4,x=4,Slant: y=x