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Popular Functions >

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)

Graph

Popular Examples

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

y=(x^2)/(sqrt(1-x)),(-3, 9/2)

y= 1/2 tan(x+pi/4)

f(x)=7x^4-6x^3+62x^2-54x-9

Frequently Asked Questions (FAQ)

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