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Popular >

f(x)=xsqrt(2x-x^2)

Solution

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

Solution

Domain : 0 \leq x \leq 2

Range : 0 \leq f (x) \leq \frac{3 3}{4}

X Intercepts : (0, 0), (2, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (0, 0), Maximum (\frac{3}{2}, \frac{3 3}{4}), Minimum (2, 0)

+1

Interval Notation

Domain : [0, 2]

Range : [0, \frac{3 3}{4}]

Solution steps

Domain of

x 2 x - x^{2} : 0 \leq x \leq 2

Range of

x 2 x - x^{2} : 0 \leq f (x) \leq \frac{3 3}{4}

Axis interception points of

x 2 x - x^{2} :

X Intercepts

: (0, 0), (2, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x 2 x - x^{2} :

None

Extreme Points of

x 2 x - x^{2} :

Minimum

(0, 0),

Maximum

(\frac{3}{2}, \frac{3 3}{4}),

Minimum

(2, 0)

Graph

Popular Examples

y=x^4-4x^3+14/3 x^2-9/7 x+2

y = x^{4} - 4 x^{3} + \frac{14}{3} x^{2} - \frac{9}{7} x + 2

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

f(x)=(4x^2-1)^3

f (x) = (4 x^{2} - 1)^{3}

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

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

y=e^{2x}+e^{x+1}-20e^2

y = e^{2 x} + e^{x + 1} - 20 e^{2}

Frequently Asked Questions (FAQ)

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