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Popular >

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

Solution

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

Solution

Domain : - 2 \leq x \leq 2

Range : 0 \leq f (x) \leq \frac{16}{3 3}

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

Asymptotes : None

Extreme Points : Minimum (- 2, 0), Maximum (- \frac{2 2}{3}, \frac{16}{3 3}), Minimum (0, 0), Maximum (\frac{2 2}{3}, \frac{16}{3 3}), Minimum (2, 0)

+1

Interval Notation

Domain : [- 2, 2]

Range : [0, \frac{16}{3 3}]

Solution steps

Domain of

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

Range of

x^{2} 4 - x^{2} : 0 \leq f (x) \leq \frac{16}{3 3}

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(- 2, 0),

Maximum

(- \frac{2 2}{3}, \frac{16}{3 3}),

Minimum

(0, 0),

Maximum

(\frac{2 2}{3}, \frac{16}{3 3}),

Minimum

(2, 0)

Popular Examples

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

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

f(x)=|sqrt(x^2)-1|*e^{-|x-1|}

f (x) = x^{2} - 1 \cdot e^{- ∣ x - 1 ∣}

y = x - x^{2}

y = lo g_{5} (x + 2)

y = 2 (x + 1)^{2} + 3

Frequently Asked Questions (FAQ)

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