What is the asymptotes of f(x)=(x^3)/(x^2-25) ?

The asymptotes of f(x)=(x^3)/(x^2-25) is Vertical: x=-5,x=5,Slant: y=x

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asymptotes of f(x)=(x^3)/(x^2-25)

asymptotes

f (x) = \frac{x ^{3}}{x ^{2} - 25}

Vertical : x = - 5, x = 5, Slant : y = x

Solution steps

Vertical asymptotes of

\frac{x ^{3}}{x ^{2} - 25} : x = - 5, x = 5

Horizontal Asymptotes of

\frac{x ^{3}}{x ^{2} - 25} :

None

Slant Asymptotes of

\frac{x ^{3}}{x ^{2} - 25} : y = x

Vertical : x = - 5, x = 5, Slant : y = x

f (x) = \frac{x + 8}{x ^{2} - 16 x + 64}

f (x) = 3 - 2 x

y = (x + 4)^{2}

y - 6 = 0, (- 2, 5)

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

What is the asymptotes of f(x)=(x^3)/(x^2-25) ?
The asymptotes of f(x)=(x^3)/(x^2-25) is Vertical: x=-5,x=5,Slant: y=x