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Popular >

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

Solution

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

Solution

Domain : x < - 2 or - 2 < x < 0 or 0 < x < 1 or x > 1

Range : f (x) < 0 or f (x) \geq \frac{32}{9}

Intercepts : None

Asymptotes : Vertical x = - 2, x = 1, Horizontal y = 4

Extreme Points : Minimum (4, \frac{32}{9})

+1

Interval Notation

Domain : (- \infty, - 2) \cup (- 2, 0) \cup (0, 1) \cup (1, \infty)

Range : (- \infty, 0) \cup [\frac{32}{9}, \infty)

Solution steps

Domain of

\frac{4 x ^{3}}{x ^{3} + x ^{2} - 2 x} : x < - 2 or - 2 < x < 0 or 0 < x < 1 or x > 1

Range of

\frac{4 x ^{3}}{x ^{3} + x ^{2} - 2 x} : f (x) < 0 or f (x) \geq \frac{32}{9}

Axis interception points of

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

None

Asymptotes of

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

Vertical

: x = - 2, x = 1,

Horizontal

: y = 4

Extreme Points of

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

Minimum

(4, \frac{32}{9})

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Frequently Asked Questions (FAQ)

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