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Popular Functions >

f(x)= 1/((x-x^3))

Solution

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

Solution

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

Range : f (x) < 0 or f (x) > 0

Intercepts : None

Asymptotes : Vertical x = - 1, x = 0, x = 1, Horizontal y = 0

Extreme Points : Maximum (- \frac{1}{3}, - \frac{3 3}{2}), Minimum (\frac{1}{3}, \frac{3 3}{2})

+1

Interval Notation

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

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

Solution steps

Domain of

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

Range of

\frac{1}{x - x ^{3}} : f (x) < 0 or f (x) > 0

Axis interception points of

\frac{1}{x - x ^{3}} :

None

Asymptotes of

\frac{1}{x - x ^{3}} :

Vertical

: x = - 1, x = 0, x = 1,

Horizontal

: y = 0

Extreme Points of

\frac{1}{x - x ^{3}} :

Maximum

(- \frac{1}{3}, - \frac{3 3}{2}),

Minimum

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

Graph

Popular Examples

f(x)= 5/(x+x-4)

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f(x)=2x^2-36x+81

Frequently Asked Questions (FAQ)

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