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Popular >

f(x)=x^{1/3}-x^{4/3}

Solution

f (x) = x^{\frac{1}{3}} - x^{\frac{4}{3}}

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq (\frac{1}{4})^{\frac{1}{3}} - (\frac{1}{4})^{\frac{4}{3}}

X Intercepts : (0, 0), (1, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (\frac{1}{4}, (\frac{1}{4})^{\frac{1}{3}} - (\frac{1}{4})^{\frac{4}{3}})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, (\frac{1}{4})^{\frac{1}{3}} - (\frac{1}{4})^{\frac{4}{3}}]

Solution steps

Domain of

x^{\frac{1}{3}} - x^{\frac{4}{3}} : - \infty < x < \infty

Range of

x^{\frac{1}{3}} - x^{\frac{4}{3}} : f (x) \leq (\frac{1}{4})^{\frac{1}{3}} - (\frac{1}{4})^{\frac{4}{3}}

Axis interception points of

x^{\frac{1}{3}} - x^{\frac{4}{3}} :

X Intercepts

: (0, 0), (1, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x^{\frac{1}{3}} - x^{\frac{4}{3}} :

None

Extreme Points of

x^{\frac{1}{3}} - x^{\frac{4}{3}} :

Maximum

(\frac{1}{4}, (\frac{1}{4})^{\frac{1}{3}} - (\frac{1}{4})^{\frac{4}{3}})

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Frequently Asked Questions (FAQ)

What is the f(x)=x^{1/3}-x^{4/3} ?
The f(x)=x^{1/3}-x^{4/3} is