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Popular Functions >

f(x)=x^3-3x

Solution

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

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (0, 0), (- 3, 0), (3, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (- 1, 2), Minimum (1, - 2)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

x^{3} - 3 x :

X Intercepts

: (0, 0), (- 3, 0), (3, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x^{3} - 3 x :

None

Extreme Points of

x^{3} - 3 x :

Maximum

(- 1, 2),

Minimum

(1, - 2)

Graph

Popular Examples

range of 2^{x-4}

r an g e 2^{x - 4}

inverse of f(x)=2x^2+7

in v erse f (x) = 2 x^{2} + 7

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

d o main \frac{1}{( 1 - x ^{2} )}

intercepts of f(x)=x^3+2x^2+x

in t erce pt s f (x) = x^{3} + 2 x^{2} + x

critical f(x)=6x^4+6x^3

cr i t i c a l f (x) = 6 x^{4} + 6 x^{3}

Frequently Asked Questions (FAQ)

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