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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - (\frac{13}{4})^{\frac{1}{3}}

X Intercepts : (\frac{- 3 + 1 3 ^{\frac{1}{2}}}{2}, 0), (\frac{- 3 - 1 3 ^{\frac{1}{2}}}{2}, 0), Y Intercepts : (0, - 1)

Asymptotes : None

Extreme Points : Minimum (- \frac{3}{2}, - (\frac{13}{4})^{\frac{1}{3}})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- (\frac{13}{4})^{\frac{1}{3}}, \infty)

Solution steps

Domain of

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

Range of

(x^{2} + 3 x - 1)^{\frac{1}{3}} : f (x) \geq - (\frac{13}{4})^{\frac{1}{3}}

Axis interception points of

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

X Intercepts

: (\frac{- 3 + 1 3 ^{\frac{1}{2}}}{2}, 0), (\frac{- 3 - 1 3 ^{\frac{1}{2}}}{2}, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(- \frac{3}{2}, - (\frac{13}{4})^{\frac{1}{3}})

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Frequently Asked Questions (FAQ)

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