What is the asymptotes of (x^3+3x^2-4x)/(-4x^2+4x+8) ?

The asymptotes of (x^3+3x^2-4x)/(-4x^2+4x+8) is Vertical: x=-1,x=2,Slant: y=-1/4 x-1

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asymptotes of (x^3+3x^2-4x)/(-4x^2+4x+8)

asymptotes

\frac{x ^{3} + 3 x ^{2} - 4 x}{- 4 x ^{2} + 4 x + 8}

Vertical : x = - 1, x = 2, Slant : y = - \frac{1}{4} x - 1

Solution steps

Vertical asymptotes of

\frac{x ^{3} + 3 x ^{2} - 4 x}{- 4 x ^{2} + 4 x + 8} : x = - 1, x = 2

Horizontal Asymptotes of

\frac{x ^{3} + 3 x ^{2} - 4 x}{- 4 x ^{2} + 4 x + 8} :

None

Slant Asymptotes of

\frac{x ^{3} + 3 x ^{2} - 4 x}{- 4 x ^{2} + 4 x + 8} : y = - \frac{1}{4} x - 1

Vertical : x = - 1, x = 2, Slant : y = - \frac{1}{4} x - 1

f (x) = \frac{2 ( x ^{2} - 9 )}{x ^{2} - 4}

f (x) = 6 - x - x^{2}

(x + 6) (x - 1)^{2}

f (x) = - \frac{3}{∣ x + 2 ∣}

f (x) = - \frac{1}{x ^{4}} - 3

What is the asymptotes of (x^3+3x^2-4x)/(-4x^2+4x+8) ?
The asymptotes of (x^3+3x^2-4x)/(-4x^2+4x+8) is Vertical: x=-1,x=2,Slant: y=-1/4 x-1