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Popular >

f(x)=(x+1)^{2/3}(x-2)^{1/3}

Solution

f (x) = (x + 1)^{\frac{2}{3}} (x - 2)^{\frac{1}{3}}

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (- 1, 0), (2, 0), Y Intercepts : (0, - 2^{\frac{1}{3}})

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

(x + 1)^{\frac{2}{3}} (x - 2)^{\frac{1}{3}} : - \infty < x < \infty

Range of

(x + 1)^{\frac{2}{3}} (x - 2)^{\frac{1}{3}} : - \infty < f (x) < \infty

Axis interception points of

(x + 1)^{\frac{2}{3}} (x - 2)^{\frac{1}{3}} :

X Intercepts

: (- 1, 0), (2, 0),

Y Intercepts

: (0, - 2^{\frac{1}{3}})

Asymptotes of

(x + 1)^{\frac{2}{3}} (x - 2)^{\frac{1}{3}} :

None

Extreme Points of

(x + 1)^{\frac{2}{3}} (x - 2)^{\frac{1}{3}} :

Maximum

(- 1, 0),

Minimum

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

Popular Examples

f(x)=-0.23x^3+4.88x^2-29.77x+133.65

f (x) = - 0.23 x^{3} + 4.88 x^{2} - 29.77 x + 133.65

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

f(θ)=sin(4θ)sin(6θ)

f (θ) = sin (4 θ) sin (6 θ)

f(x)=sqrt(x^2+4x+4)+sqrt(x^2-6x+9)

f (x) = x^{2} + 4 x + 4 + x^{2} - 6 x + 9

y = - (x + 2)^{2} + 9

Frequently Asked Questions (FAQ)

What is the f(x)=(x+1)^{2/3}(x-2)^{1/3} ?
The f(x)=(x+1)^{2/3}(x-2)^{1/3} is