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Popular >

f(x)=(3x^2+4x-5)^3

Solution

f (x) = (3 x^{2} + 4 x - 5)^{3}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{6859}{27}

X Intercepts : (\frac{- 2 + 19}{3}, 0), (- \frac{2 + 19}{3}, 0), Y Intercepts : (0, - 125)

Asymptotes : None

Extreme Points : Saddle (- \frac{2 + 19}{3}, 0), Minimum (- \frac{2}{3}, - \frac{6859}{27}), Saddle (\frac{- 2 + 19}{3}, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{6859}{27}, \infty)

Solution steps

Domain of

(3 x^{2} + 4 x - 5)^{3} : - \infty < x < \infty

Range of

(3 x^{2} + 4 x - 5)^{3} : f (x) \geq - \frac{6859}{27}

Axis interception points of

(3 x^{2} + 4 x - 5)^{3} :

X Intercepts

: (\frac{- 2 + 19}{3}, 0), (- \frac{2 + 19}{3}, 0),

Y Intercepts

: (0, - 125)

Asymptotes of

(3 x^{2} + 4 x - 5)^{3} :

None

Extreme Points of

(3 x^{2} + 4 x - 5)^{3} :

Saddle

(- \frac{2 + 19}{3}, 0),

Minimum

(- \frac{2}{3}, - \frac{6859}{27}),

Saddle

(\frac{- 2 + 19}{3}, 0)

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Frequently Asked Questions (FAQ)

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