What is the asymptotes of f(x)=(x^3+1)/(x^2+2x) ?

The asymptotes of f(x)=(x^3+1)/(x^2+2x) is Vertical: x=-2,x=0,Slant: y=x-2

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asymptotes of f(x)=(x^3+1)/(x^2+2x)

asymptotes

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

Vertical : x = - 2, x = 0, Slant : y = x - 2

Solution steps

Vertical asymptotes of

\frac{x ^{3} + 1}{x ^{2} + 2 x} : x = - 2, x = 0

Horizontal Asymptotes of

\frac{x ^{3} + 1}{x ^{2} + 2 x} :

None

Slant Asymptotes of

\frac{x ^{3} + 1}{x ^{2} + 2 x} : y = x - 2

Vertical : x = - 2, x = 0, Slant : y = x - 2

f (x) = \frac{1}{( x - 4 )}

f (x) = - x^{3} + 27 x - 54

5 x - 3 y = 2

f (x) = \frac{1}{2} cos (4) (x - π) + 1

2 x + y = - 6

What is the asymptotes of f(x)=(x^3+1)/(x^2+2x) ?
The asymptotes of f(x)=(x^3+1)/(x^2+2x) is Vertical: x=-2,x=0,Slant: y=x-2