What is the asymptotes of f(x)=(2x^3-2x^2)/(x^3-9x) ?

The asymptotes of f(x)=(2x^3-2x^2)/(x^3-9x) is Vertical: x=-3,x=3,Horizontal: y=2

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asymptotes of f(x)=(2x^3-2x^2)/(x^3-9x)

asymptotes

f (x) = \frac{2 x ^{3} - 2 x ^{2}}{x ^{3} - 9 x}

Vertical : x = - 3, x = 3, Horizontal : y = 2

Solution steps

Vertical asymptotes of

\frac{2 x ^{3} - 2 x ^{2}}{x ^{3} - 9 x} : x = - 3, x = 3

Horizontal Asymptotes of

\frac{2 x ^{3} - 2 x ^{2}}{x ^{3} - 9 x} : y = 2

Slant Asymptotes of

\frac{2 x ^{3} - 2 x ^{2}}{x ^{3} - 9 x} :

None

Vertical : x = - 3, x = 3, Horizontal : y = 2

f (x) = \frac{( 3 x ^{2} - 10 x + 8 )}{x - 5}

(- 6, - 6), (- 2, 4)

\frac{x}{x ^{2} - 9}

y = 100 - x^{2}

\frac{x - 7}{x}

What is the asymptotes of f(x)=(2x^3-2x^2)/(x^3-9x) ?
The asymptotes of f(x)=(2x^3-2x^2)/(x^3-9x) is Vertical: x=-3,x=3,Horizontal: y=2