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Popular Calculus >

f(x)=sqrt(x^3-x)

Solution

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

Solution

Domain : - 1 \leq x \leq 0 or x \geq 1

Range : f (x) \geq 0

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

Asymptotes : None

Extreme Points : Minimum (- 1, 0), Maximum (- \frac{1}{3}, \frac{2}{3 3}), Minimum (0, 0), Minimum (1, 0)

+1

Interval Notation

Domain : [- 1, 0] \cup [1, \infty)

Range : [0, \infty)

Solution steps

Domain of

x^{3} - x : - 1 \leq x \leq 0 or x \geq 1

Range of

x^{3} - x : f (x) \geq 0

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 :

Minimum

(- 1, 0),

Maximum

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

Minimum

(0, 0),

Minimum

(1, 0)

Graph

Popular Examples

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derivative of f(x)=(x+9)/(x^2-7x+1)

Frequently Asked Questions (FAQ)

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