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Popular >

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

Solution

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

Range of

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

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

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

None

Extreme Points of

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

Saddle

(0, 0),

Maximum

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

Minimum

(1, 0)

Popular Examples

f (x) = 3 x^{3} + 4 x - 6

y = - x^{2} + x + 12

y = arccos (3 - 2 x)

f(x)=(3x^2+4x-5)^3

f (x) = (3 x^{2} + 4 x - 5)^{3}

f(j)=sinh(sqrt(1+j\sqrt{3)})

f (j) = sinh (1 + j 3)

Frequently Asked Questions (FAQ)

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