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Popular >

y=-4x^3-12x^2+40x

Solution

y = - 4 x^{3} - 12 x^{2} + 40 x

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (0, 0), (2, 0), (- 5, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (- \frac{3 + 39}{3}, - 8 (8 + 39) + \frac{144 - 32 39}{9}), Maximum (\frac{39 - 3}{3}, - 8 (8 - 39) + \frac{32 39 + 144}{9})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

- 4 x^{3} - 12 x^{2} + 40 x : - \infty < x < \infty

Range of

- 4 x^{3} - 12 x^{2} + 40 x : - \infty < f (x) < \infty

Axis interception points of

- 4 x^{3} - 12 x^{2} + 40 x :

X Intercepts

: (0, 0), (2, 0), (- 5, 0),

Y Intercepts

: (0, 0)

Asymptotes of

- 4 x^{3} - 12 x^{2} + 40 x :

None

Extreme Points of

- 4 x^{3} - 12 x^{2} + 40 x :

Minimum

(- \frac{3 + 39}{3}, - 8 (8 + 39) + \frac{144 - 32 39}{9}),

Maximum

(\frac{39 - 3}{3}, - 8 (8 - 39) + \frac{32 39 + 144}{9})

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Frequently Asked Questions (FAQ)

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