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Popular >

v(x)=4x^3-200x^2+2400x

Solution

v (x) = 4 x^{3} - 200 x^{2} + 2400 x

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (0, 0), (20, 0), (30, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (\frac{10 ( 5 - 7 )}{3}, 8000 (5 - 7) + \frac{272000 7 - 1000000}{27}), Minimum (\frac{10 ( 5 + 7 )}{3}, 8000 (5 + 7) + \frac{- 1000000 - 272000 7}{27})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

4 x^{3} - 200 x^{2} + 2400 x : - \infty < x < \infty

Range of

4 x^{3} - 200 x^{2} + 2400 x : - \infty < f (x) < \infty

Axis interception points of

4 x^{3} - 200 x^{2} + 2400 x :

X Intercepts

: (0, 0), (20, 0), (30, 0),

Y Intercepts

: (0, 0)

Asymptotes of

4 x^{3} - 200 x^{2} + 2400 x :

None

Extreme Points of

4 x^{3} - 200 x^{2} + 2400 x :

Maximum

(\frac{10 ( 5 - 7 )}{3}, 8000 (5 - 7) + \frac{272000 7 - 1000000}{27}),

Minimum

(\frac{10 ( 5 + 7 )}{3}, 8000 (5 + 7) + \frac{- 1000000 - 272000 7}{27})

Graph

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Frequently Asked Questions (FAQ)

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