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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{27}{256}

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

Asymptotes : None

Extreme Points : Maximum (\frac{1}{4}, \frac{27}{256}), Saddle (1, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{27}{256}]

Solution steps

Domain of

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

Range of

x (1 - x)^{3} : f (x) \leq \frac{27}{256}

Axis interception points of

x (1 - x)^{3} :

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

x (1 - x)^{3} :

None

Extreme Points of

x (1 - x)^{3} :

Maximum

(\frac{1}{4}, \frac{27}{256}),

Saddle

(1, 0)

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Frequently Asked Questions (FAQ)

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