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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

X Intercepts : (\frac{- 1 + 5 ^{\frac{1}{2}}}{2}, 0), (\frac{- 1 - 5 ^{\frac{1}{2}}}{2}, 0), Y Intercepts : (0, - 1)

Asymptotes : None

Extreme Points : Minimum (0, - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

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

Axis interception points of

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

X Intercepts

: (\frac{- 1 + 5 ^{\frac{1}{2}}}{2}, 0), (\frac{- 1 - 5 ^{\frac{1}{2}}}{2}, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(0, - 1)

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Frequently Asked Questions (FAQ)

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