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Popular >

f(x)=x^{2/3}(6-x)^{1/3}

Solution

f (x) = x^{\frac{2}{3}} (6 - x)^{\frac{1}{3}}

Solution

Domain : - \infty < x < \infty

Range : - \infty < f (x) < \infty

X Intercepts : (0, 0), (6, 0), Y Intercepts : (0, 0)

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

x^{\frac{2}{3}} (6 - x)^{\frac{1}{3}} : - \infty < x < \infty

Range of

x^{\frac{2}{3}} (6 - x)^{\frac{1}{3}} : - \infty < f (x) < \infty

Axis interception points of

x^{\frac{2}{3}} (6 - x)^{\frac{1}{3}} :

X Intercepts

: (0, 0), (6, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x^{\frac{2}{3}} (6 - x)^{\frac{1}{3}} :

None

Extreme Points of

x^{\frac{2}{3}} (6 - x)^{\frac{1}{3}} :

Minimum

(0, 0),

Maximum

(4, 2 \cdot 2^{\frac{2}{3}})

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Frequently Asked Questions (FAQ)

What is the f(x)=x^{2/3}(6-x)^{1/3} ?
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