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Popular Functions >

f(x)=(2x^2)/((x^3-1)^{1/3)}

Solution

f (x) = \frac{2 x ^{2}}{( x ^{3} - 1 ) ^{\frac{1}{3}}}

Solution

Domain : x < 1 or x > 1

Range : f (x) \leq 0 or f (x) \geq 2 \cdot 4^{\frac{1}{3}}

X Intercepts : (0, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = 1

Extreme Points : Maximum (0, 0), Minimum (2^{\frac{1}{3}}, 2 \cdot 2^{\frac{2}{3}})

+1

Interval Notation

Domain : (- \infty, 1) \cup (1, \infty)

Range : (- \infty, 0] \cup [2 \cdot 4^{\frac{1}{3}}, \infty)

Solution steps

Domain of

\frac{2 x ^{2}}{( x ^{3} - 1 ) ^{\frac{1}{3}}} : x < 1 or x > 1

Range of

\frac{2 x ^{2}}{( x ^{3} - 1 ) ^{\frac{1}{3}}} : f (x) \leq 0 or f (x) \geq 2 \cdot 4^{\frac{1}{3}}

Axis interception points of

\frac{2 x ^{2}}{( x ^{3} - 1 ) ^{\frac{1}{3}}} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{2 x ^{2}}{( x ^{3} - 1 ) ^{\frac{1}{3}}} :

Vertical

: x = 1

Extreme Points of

\frac{2 x ^{2}}{( x ^{3} - 1 ) ^{\frac{1}{3}}} :

Maximum

(0, 0),

Minimum

(2^{\frac{1}{3}}, 2 \cdot 2^{\frac{2}{3}})

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the f(x)=(2x^2)/((x^3-1)^{1/3)} ?
The f(x)=(2x^2)/((x^3-1)^{1/3)} is