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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq - \frac{- 9152 13 - 37568}{729}

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

Asymptotes : None

Extreme Points : Saddle (- 2, 0), Maximum (\frac{1 - 13}{3}, - \frac{9152 13 - 37568}{729}), Minimum (0, 0), Maximum (\frac{1 + 13}{3}, - \frac{- 9152 13 - 37568}{729})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, - \frac{- 9152 13 - 37568}{729}]

Solution steps

Domain of

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

Range of

- 2 x^{2} (x^{2} - 4) (x^{2} + 4 x + 4) : f (x) \leq - \frac{- 9152 13 - 37568}{729}

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

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

None

Extreme Points of

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

Saddle

(- 2, 0),

Maximum

(\frac{1 - 13}{3}, - \frac{9152 13 - 37568}{729}),

Minimum

(0, 0),

Maximum

(\frac{1 + 13}{3}, - \frac{- 9152 13 - 37568}{729})

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Frequently Asked Questions (FAQ)

What is the f(x)=-2x^2(x^2-4)(x^2+4x+4) ?
The f(x)=-2x^2(x^2-4)(x^2+4x+4) is