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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

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

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

Asymptotes : None

Extreme Points : Minimum (\frac{1}{8}, - \frac{1}{4})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{1}{4}, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(\frac{1}{8}, - \frac{1}{4})

Popular Examples

y= 1/150 (x-4)(x+10)(x-10)(x+3)

y = \frac{1}{150} (x - 4) (x + 10) (x - 10) (x + 3)

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f (x) = 2 x^{3} - 6 x^{2} - 18 x - 7

Frequently Asked Questions (FAQ)

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