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Popular >

f(x)=x*sqrt(1-x),0<x<1

Solution

f (x) = x \cdot 1 - x, 0 < x < 1

Solution

Domain : 0 < x < 1

Range : 0 < f (x) \leq \frac{2}{3 3}

Intercepts : None

Asymptotes : None

Extreme Points : Maximum (\frac{2}{3}, \frac{2}{3 3})

+1

Interval Notation

Domain : (0, 1)

Range : (0, \frac{2}{3 3}]

Solution steps

Domain of

x \cdot 1 - x, 0 < x < 1 : 0 < x < 1

Range of

x \cdot 1 - x, 0 < x < 1 : 0 < f (x) \leq \frac{2}{3 3}

Axis interception points of

x \cdot 1 - x, 0 < x < 1 :

None

Asymptotes of

x \cdot 1 - x, 0 < x < 1 :

None

Extreme Points of

x \cdot 1 - x, 0 < x < 1 :

Maximum

(\frac{2}{3}, \frac{2}{3 3})

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Frequently Asked Questions (FAQ)

What is the f(x)=x*sqrt(1-x),0<x<1 ?
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