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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq \frac{2 \cdot 2 ^{\frac{1}{2}}}{3}

Y Intercepts : (0, \frac{2 \cdot 2 ^{\frac{1}{2}}}{3})

Asymptotes : None

Extreme Points : Minimum (0, \frac{2 \cdot 2 ^{\frac{1}{2}}}{3})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{2 2 ^{\frac{1}{2}}}{3}, \infty)

Solution steps

Domain of

\frac{1}{3} (x^{2} + 2)^{\frac{3}{2}} : - \infty < x < \infty

Range of

\frac{1}{3} (x^{2} + 2)^{\frac{3}{2}} : f (x) \geq \frac{2 \cdot 2 ^{\frac{1}{2}}}{3}

Axis interception points of

\frac{1}{3} (x^{2} + 2)^{\frac{3}{2}} :

Y Intercepts

: (0, \frac{2 \cdot 2 ^{\frac{1}{2}}}{3})

Asymptotes of

\frac{1}{3} (x^{2} + 2)^{\frac{3}{2}} :

None

Extreme Points of

\frac{1}{3} (x^{2} + 2)^{\frac{3}{2}} :

Minimum

(0, \frac{2 \cdot 2 ^{\frac{1}{2}}}{3})

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Frequently Asked Questions (FAQ)

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