en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=x^3(1-x)^2

Solution

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

Solution

Domain : - \infty < x < \infty

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

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

Asymptotes : None

Extreme Points : Saddle (0, 0), Maximum (\frac{3}{5}, \frac{108}{3125}), Minimum (1, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

x^{3} (1 - x)^{2} :

X Intercepts

: (0, 0), (1, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x^{3} (1 - x)^{2} :

None

Extreme Points of

x^{3} (1 - x)^{2} :

Saddle

(0, 0),

Maximum

(\frac{3}{5}, \frac{108}{3125}),

Minimum

(1, 0)

Popular Examples

y=(e^x)/(1+x^2)

y = \frac{e ^{x}}{1 + x ^{2}}

f(x)=((x^2-5)^3)/(125)

f (x) = \frac{( x ^{2} - 5 ) ^{3}}{125}

y = 64 - x^{3}

f(x)=-2x^2+9x-9

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

f(n)=(n+1)^{2n}

f (n) = (n + 1)^{2 n}

Frequently Asked Questions (FAQ)

What is the f(x)=x^3(1-x)^2 ?
The f(x)=x^3(1-x)^2 is