en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=x^{2/3}(x^2-4)

Solution

f (x) = x^{\frac{2}{3}} (x^{2} - 4)

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 3

X Intercepts : (0, 0), (- 2, 0), (2, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (- 1, - 3), Maximum (0, 0), Minimum (1, - 3)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 3, \infty)

Solution steps

Domain of

x^{\frac{2}{3}} (x^{2} - 4) : - \infty < x < \infty

Range of

x^{\frac{2}{3}} (x^{2} - 4) : f (x) \geq - 3

Axis interception points of

x^{\frac{2}{3}} (x^{2} - 4) :

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

x^{\frac{2}{3}} (x^{2} - 4) :

None

Extreme Points of

x^{\frac{2}{3}} (x^{2} - 4) :

Minimum

(- 1, - 3),

Maximum

(0, 0),

Minimum

(1, - 3)

Popular Examples

y = - 2 x^{2} - 16 x - 29

y = - 3 x^{2} - 4 x - 2

f (x) = 9 x - 8

y = - \frac{5}{2} x

f(x)=5000+3x-0.002x^2

f (x) = 5000 + 3 x - 0.002 x^{2}

Frequently Asked Questions (FAQ)

What is the f(x)=x^{2/3}(x^2-4) ?
The f(x)=x^{2/3}(x^2-4) is