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Popular >

f(x)=x^3-x

Solution

f (x) = x^{3} - x

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (0, 0), (- 1, 0), (1, 0), Y Intercepts : (0, 0)

Asymptotes : None

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

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Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

x^{3} - x : - \infty < x < \infty

Range of

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

Axis interception points of

x^{3} - x :

X Intercepts

: (0, 0), (- 1, 0), (1, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x^{3} - x :

None

Extreme Points of

x^{3} - x :

Maximum

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

Minimum

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

Popular Examples

domain of f(x)=ln(1/(x+2))domain

f (x) = ln (\frac{1}{x + 2})

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

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

domain of 2/(1-e^x)domain

\frac{2}{1 - e ^{x}}

inverse of f(x)=(4x-1)/(2x+9)inverse

f (x) = \frac{4 x - 1}{2 x + 9}

inverse of y=ln(x+5)inverse

y = ln (x + 5)

Frequently Asked Questions (FAQ)

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