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

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f(x)=4x^3-2/(x^3)

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

Domain : x < 0 or x > 0

Range : - \infty < f (x) < \infty

X Intercepts : (\frac{1}{6 2}, 0), (- \frac{1}{6 2}, 0)

Asymptotes : Vertical x = 0

Extreme Points : None

Interval Notation

Domain : (- \infty, 0) \cup (0, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

4 x^{3} - \frac{2}{x ^{3}} : x < 0 or x > 0

Range of

4 x^{3} - \frac{2}{x ^{3}} : - \infty < f (x) < \infty

Axis interception points of

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

X Intercepts

: (\frac{1}{6 2}, 0), (- \frac{1}{6 2}, 0)

Asymptotes of

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

Vertical

: x = 0

Extreme Points of

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

None

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\frac{d}{d x} (e^{- x} (x - 1))

f (x) = 3^{3} - 3 (3)^{2} + 4 (3) + 5 + x

\int_{0}^{3} π (\frac{9}{x ^{2} + 9})^{2} d x

\frac{x}{2 x + 1}