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Popular >

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

Solution

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

Solution

Domain : - 1 \leq x \leq 1

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

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

Asymptotes : None

Extreme Points : Maximum (- 1, 0), Minimum (- \frac{1}{2}, - \frac{1}{2}), Maximum (\frac{1}{2}, \frac{1}{2}), Minimum (1, 0)

+1

Interval Notation

Domain : [- 1, 1]

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

Solution steps

Domain of

x 1 - x^{2} : - 1 \leq x \leq 1

Range of

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

Axis interception points of

x 1 - x^{2} :

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

x 1 - x^{2} :

None

Extreme Points of

x 1 - x^{2} :

Maximum

(- 1, 0),

Minimum

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

Maximum

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

Minimum

(1, 0)

Graph

Popular Examples

integral from 1 to 8 of 1/(sqrt(3x+1))

\int_{1}^{8} \frac{1}{3 x + 1} d x

limit as x approaches-1 of 1/(sqrt(x+1))

x \to - 1 lim (\frac{1}{x + 1})

y^{''}-y^'+4y=2sin(2t)

y^{^{''}} - y^{^{'}} + 4 y = 2 sin (2 t)

derivative of 3x*ln(1/(x^2))derivative of

3 x \cdot ln (\frac{1}{x ^{2}})

integral from 4 to infinity of xe^{-5x}

\int_{4}^{\infty} x e^{- 5 x} d x

Frequently Asked Questions (FAQ)

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