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Popular >

f(x)=x^{4/3}-2x^{1/3}

Solution

f (x) = x^{\frac{4}{3}} - 2 x^{\frac{1}{3}}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq (\frac{1}{2})^{\frac{4}{3}} - 4^{\frac{1}{3}}

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

Asymptotes : None

Extreme Points : Minimum (\frac{1}{2}, (\frac{1}{2})^{\frac{4}{3}} - 4^{\frac{1}{3}})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [(\frac{1}{2})^{\frac{4}{3}} - 4^{\frac{1}{3}}, \infty)

Solution steps

Domain of

x^{\frac{4}{3}} - 2 x^{\frac{1}{3}} : - \infty < x < \infty

Range of

x^{\frac{4}{3}} - 2 x^{\frac{1}{3}} : f (x) \geq (\frac{1}{2})^{\frac{4}{3}} - 4^{\frac{1}{3}}

Axis interception points of

x^{\frac{4}{3}} - 2 x^{\frac{1}{3}} :

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

x^{\frac{4}{3}} - 2 x^{\frac{1}{3}} :

None

Extreme Points of

x^{\frac{4}{3}} - 2 x^{\frac{1}{3}} :

Minimum

(\frac{1}{2}, (\frac{1}{2})^{\frac{4}{3}} - 4^{\frac{1}{3}})

Popular Examples

y = x^{3} - 2 x^{2} + 1

y = x^{3} - 2 x^{2} + 5

f (4) = 2 x^{2} - x + 9

f(x)=sqrt((x-1)/(x+4))

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

y = 7.25 x

Frequently Asked Questions (FAQ)

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