What is the asymptotes of f(x)=(2x^3-8x)/(x^3+2x^2) ?

The asymptotes of f(x)=(2x^3-8x)/(x^3+2x^2) is Vertical: x=0,Horizontal: y=2

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asymptotes of f(x)=(2x^3-8x)/(x^3+2x^2)

asymptotes

f (x) = \frac{2 x ^{3} - 8 x}{x ^{3} + 2 x ^{2}}

Vertical : x = 0, Horizontal : y = 2

Solution steps

Vertical asymptotes of

\frac{2 x ^{3} - 8 x}{x ^{3} + 2 x ^{2}} : x = 0

Horizontal Asymptotes of

\frac{2 x ^{3} - 8 x}{x ^{3} + 2 x ^{2}} : y = 2

Slant Asymptotes of

\frac{2 x ^{3} - 8 x}{x ^{3} + 2 x ^{2}} :

None

Vertical : x = 0, Horizontal : y = 2

f (x) = \frac{4 x - 8}{x + 3}

2 + 3 + 4 x

y = \frac{2}{3} x - 5

f (x) = \frac{1}{x ^{2} + 3}

3 x^{2} + 24 x - 51

What is the asymptotes of f(x)=(2x^3-8x)/(x^3+2x^2) ?
The asymptotes of f(x)=(2x^3-8x)/(x^3+2x^2) is Vertical: x=0,Horizontal: y=2