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Popular >

y=2x(1-x),0<= x<= 1

Solution

y = 2 x (1 - x), 0 \leq x \leq 1

Solution

Domain : 0 \leq x \leq 1

Range : 0 \leq f (x) \leq \frac{1}{2}

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

Vertex : Maximum (\frac{1}{2}, \frac{1}{2})

Inverse : - \frac{- 1 + - 2 x + 1}{2}, \frac{- 2 x + 1 + 1}{2}

+1

Interval Notation

Domain : [0, 1]

Range : [0, \frac{1}{2}]

Solution steps

Domain of

2 x (1 - x), 0 \leq x \leq 1 : 0 \leq x \leq 1

Range of

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

Axis interception points of

2 x (1 - x), 0 \leq x \leq 1 :

X Intercepts

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

Y Intercepts

: (0, 0)

Vertex of

2 x (1 - x), 0 \leq x \leq 1 :

Maximum

(\frac{1}{2}, \frac{1}{2})

Inverse of

2 x (1 - x), 0 \leq x \leq 1 : - \frac{- 1 + - 2 x + 1}{2}, \frac{- 2 x + 1 + 1}{2}

Popular Examples

f (x) = - 2 x^{2} + x + 7

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h (x) = x^{(3)} - 4 x

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f(x)=(-4)/(-x-2)

f (x) = \frac{- 4}{- x - 2}

f(x)=4x(x^2+12x-45)

f (x) = 4 x (x^{2} + 12 x - 45)

Frequently Asked Questions (FAQ)

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