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Popular >

f(x)=x^2sqrt(16-x^2)

Solution

f (x) = x^{2} 16 - x^{2}

Solution

Domain : - 4 \leq x \leq 4

Range : 0 \leq f (x) \leq \frac{128}{3 3}

X Intercepts : (0, 0), (4, 0), (- 4, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (- 4, 0), Maximum (- \frac{4 2}{3}, \frac{128}{3 3}), Minimum (0, 0), Maximum (\frac{4 2}{3}, \frac{128}{3 3}), Minimum (4, 0)

+1

Interval Notation

Domain : [- 4, 4]

Range : [0, \frac{128}{3 3}]

Solution steps

Domain of

x^{2} 16 - x^{2} : - 4 \leq x \leq 4

Range of

x^{2} 16 - x^{2} : 0 \leq f (x) \leq \frac{128}{3 3}

Axis interception points of

x^{2} 16 - x^{2} :

X Intercepts

: (0, 0), (4, 0), (- 4, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x^{2} 16 - x^{2} :

None

Extreme Points of

x^{2} 16 - x^{2} :

Minimum

(- 4, 0),

Maximum

(- \frac{4 2}{3}, \frac{128}{3 3}),

Minimum

(0, 0),

Maximum

(\frac{4 2}{3}, \frac{128}{3 3}),

Minimum

(4, 0)

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=x^2sqrt(16-x^2) ?
The f(x)=x^2sqrt(16-x^2) is