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Popular Functions >

y=x^3-x

Solution

y = 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})

+1

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})

Graph

Popular Examples

extreme-(sqrt(3))x+sin(2x)

inverse of f(x)=1-log_{5}(x-2)

periodicity of f(x)=2cos((2pix)/3+3/5)

inverse of f(x)=16-x^2

asymptotes of f(x)=(x+1)/(x^2-3x-4)

Frequently Asked Questions (FAQ)

What is the y=x^3-x ?
The y=x^3-x is