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

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

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

asymptotes

f (x) = \frac{x ^{3} - 8}{x ^{2} - 4}

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

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

None

Slant Asymptotes of

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

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

\frac{x ^{2}}{x + 5}

f (x) = - \frac{11}{2 x} + 5

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

f (x) = 3 - \frac{6}{x}

f (x) = \frac{x ^{2} - 9}{x ^{2} - x - 6}

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