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Popular >

y=-x^4+8x^3-21x^2+18x

Solution

y = - x^{4} + 8 x^{3} - 21 x^{2} + 18 x

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{9 ( 18 3 - 35 )}{4} + 81 - 393

X Intercepts : (0, 0), (2, 0), (3, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (\frac{3 - 3}{2}, \frac{9 ( 18 3 - 35 )}{4} + 81 - 393), Minimum (\frac{3 + 3}{2}, - \frac{9 ( 35 + 18 3 )}{4} + 81 + 393), Maximum (3, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{9 ( 18 3 - 35 )}{4} + 81 - 393]

Solution steps

Domain of

- x^{4} + 8 x^{3} - 21 x^{2} + 18 x : - \infty < x < \infty

Range of

- x^{4} + 8 x^{3} - 21 x^{2} + 18 x : f (x) \leq \frac{9 ( 18 3 - 35 )}{4} + 81 - 393

Axis interception points of

- x^{4} + 8 x^{3} - 21 x^{2} + 18 x :

X Intercepts

: (0, 0), (2, 0), (3, 0),

Y Intercepts

: (0, 0)

Asymptotes of

- x^{4} + 8 x^{3} - 21 x^{2} + 18 x :

None

Extreme Points of

- x^{4} + 8 x^{3} - 21 x^{2} + 18 x :

Maximum

(\frac{3 - 3}{2}, \frac{9 ( 18 3 - 35 )}{4} + 81 - 393),

Minimum

(\frac{3 + 3}{2}, - \frac{9 ( 35 + 18 3 )}{4} + 81 + 393),

Maximum

(3, 0)

Popular Examples

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Frequently Asked Questions (FAQ)

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