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Popular >

y=-4x^3-4x^2+120x

Solution

y = - 4 x^{3} - 4 x^{2} + 120 x

Solution

Domain : - \infty < x < \infty

Range : - \infty < f (x) < \infty

X Intercepts : (0, 0), (5, 0), (- 6, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (- \frac{1 + 91}{3}, - 40 (1 + 91) + \frac{352 91 - 8}{27}), Maximum (\frac{91 - 1}{3}, 40 (91 - 1) + \frac{- 352 91 - 8}{27})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

- 4 x^{3} - 4 x^{2} + 120 x : - \infty < x < \infty

Range of

- 4 x^{3} - 4 x^{2} + 120 x : - \infty < f (x) < \infty

Axis interception points of

- 4 x^{3} - 4 x^{2} + 120 x :

X Intercepts

: (0, 0), (5, 0), (- 6, 0),

Y Intercepts

: (0, 0)

Asymptotes of

- 4 x^{3} - 4 x^{2} + 120 x :

None

Extreme Points of

- 4 x^{3} - 4 x^{2} + 120 x :

Minimum

(- \frac{1 + 91}{3}, - 40 (1 + 91) + \frac{352 91 - 8}{27}),

Maximum

(\frac{91 - 1}{3}, 40 (91 - 1) + \frac{- 352 91 - 8}{27})

Popular Examples

f (m) = m^{2} - 2 m - 3

y = \frac{1}{∣ x ∣}

y=x^3-5x^2+3x+5

y = x^{3} - 5 x^{2} + 3 x + 5

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

y = - 4 x - 9

Frequently Asked Questions (FAQ)

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