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Popular >

f(x)=x^2(x+2)^{1/2}

Solution

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

Solution

Domain : x \geq - 2

Range : f (x) \geq 0

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

Asymptotes : None

Extreme Points : Minimum (- 2, 0), Maximum (- \frac{8}{5}, \frac{64 \cdot 2 ^{\frac{1}{2}}}{25 \cdot 5 ^{\frac{1}{2}}}), Minimum (0, 0)

+1

Interval Notation

Domain : [- 2, \infty)

Range : [0, \infty)

Solution steps

Domain of

x^{2} (x + 2)^{\frac{1}{2}} : x \geq - 2

Range of

x^{2} (x + 2)^{\frac{1}{2}} : f (x) \geq 0

Axis interception points of

x^{2} (x + 2)^{\frac{1}{2}} :

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

x^{2} (x + 2)^{\frac{1}{2}} :

None

Extreme Points of

x^{2} (x + 2)^{\frac{1}{2}} :

Minimum

(- 2, 0),

Maximum

(- \frac{8}{5}, \frac{64 \cdot 2 ^{\frac{1}{2}}}{25 \cdot 5 ^{\frac{1}{2}}}),

Minimum

(0, 0)

Popular Examples

f (a) = \frac{a ^{2}}{6}

f(x)=x^2-14x+55

f (x) = x^{2} - 14 x + 55

y = x^{3} - 9 x^{2} + 15 x

y = 2 x (x + 2) (x - 2)

f(x)=2x^6-4x^5+7x^2+3

f (x) = 2 x^{6} - 4 x^{5} + 7 x^{2} + 3

Frequently Asked Questions (FAQ)

What is the f(x)=x^2(x+2)^{1/2} ?
The f(x)=x^2(x+2)^{1/2} is