What is the asymptotes of f(x)=(x^3+4x^2)/(x^2-16) ?

The asymptotes of f(x)=(x^3+4x^2)/(x^2-16) is Vertical: x=4,Slant: y=x+4

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asymptotes of f(x)=(x^3+4x^2)/(x^2-16)

asymptotes

f (x) = \frac{x ^{3} + 4 x ^{2}}{x ^{2} - 16}

Vertical : x = 4, Slant : y = x + 4

Solution steps

Vertical asymptotes of

\frac{x ^{3} + 4 x ^{2}}{x ^{2} - 16} : x = 4

Horizontal Asymptotes of

\frac{x ^{3} + 4 x ^{2}}{x ^{2} - 16} :

None

Slant Asymptotes of

\frac{x ^{3} + 4 x ^{2}}{x ^{2} - 16} : y = x + 4

Vertical : x = 4, Slant : y = x + 4

f (x) = 4^{2 x + 1} + 2

x^{4} + x^{3} - 4 x^{2} - 4 x

f (x) = \frac{5 x}{x + 1}

\frac{x ^{2} - x + 7}{x ^{2}}

f (x) = 5 \cdot (1.5)^{x} + 2

What is the asymptotes of f(x)=(x^3+4x^2)/(x^2-16) ?
The asymptotes of f(x)=(x^3+4x^2)/(x^2-16) is Vertical: x=4,Slant: y=x+4