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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (0, 0), (- 3^{\frac{3}{2}}, 0), (3^{\frac{3}{2}}, 0), Y Intercepts : (0, 0)

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

x - 3 x^{\frac{1}{3}} : - \infty < f (x) < \infty

Axis interception points of

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

X Intercepts

: (0, 0), (- 3^{\frac{3}{2}}, 0), (3^{\frac{3}{2}}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(- 1, 2),

Maximum

(1, - 2)

Popular Examples

f(x)=(2-x)/(x^2+4)

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

limit as x approaches 0 of 1/x sinh(x)

x \to 0 lim (\frac{1}{x} sinh (x))

derivative of x^3(x-2^5)

\frac{d}{d x} (x^{3} (x - 2)^{5})

limit as x approaches-1 of 2/((2x+2)^2)

x \to - 1 lim (\frac{2}{( 2 x + 2 ) ^{2}})

derivative of f(x)= x/(x+b/x)derivative of

f (x) = \frac{x}{x + \frac{b}{x}}

Frequently Asked Questions (FAQ)

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