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Popular >

f(x)=xsqrt(4-x^2)

Solution

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

Solution

Domain : - 2 \leq x \leq 2

Range : - 2 \leq f (x) \leq 2

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

Asymptotes : None

Extreme Points : Maximum (- 2, 0), Minimum (- 2, - 2), Maximum (2, 2), Minimum (2, 0)

+1

Interval Notation

Domain : [- 2, 2]

Range : [- 2, 2]

Solution steps

Domain of

x 4 - x^{2} : - 2 \leq x \leq 2

Range of

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

Axis interception points of

x 4 - x^{2} :

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

x 4 - x^{2} :

None

Extreme Points of

x 4 - x^{2} :

Maximum

(- 2, 0),

Minimum

(- 2, - 2),

Maximum

(2, 2),

Minimum

(2, 0)

Graph

Popular Examples

(dy)/(dx)=2x*e^{-y}

\frac{d y}{d x} = 2 x \cdot e^{- y}

integral of x/(sqrt(x-10))

\int \frac{x}{x - 10} d x

sum from n=1 to infinity of \sqrt[n]{2}

n = 1 \sum \infty n 2

y^{^{'}} - 2 = 2 y^{2}

slope of (4,0),(0,-1)slope

(4, 0), (0, - 1)

Frequently Asked Questions (FAQ)

What is the f(x)=xsqrt(4-x^2) ?
The f(x)=xsqrt(4-x^2) is