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Popular >

y=-x^3+11x^2-28x

Solution

y = - x^{3} + 11 x^{2} - 28 x

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (0, 0), (4, 0), (7, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (\frac{11 - 37}{3}, \frac{- 110 - 74 37}{27}), Maximum (\frac{11 + 37}{3}, \frac{74 37 - 110}{27})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

- x^{3} + 11 x^{2} - 28 x : - \infty < x < \infty

Range of

- x^{3} + 11 x^{2} - 28 x : - \infty < f (x) < \infty

Axis interception points of

- x^{3} + 11 x^{2} - 28 x :

X Intercepts

: (0, 0), (4, 0), (7, 0),

Y Intercepts

: (0, 0)

Asymptotes of

- x^{3} + 11 x^{2} - 28 x :

None

Extreme Points of

- x^{3} + 11 x^{2} - 28 x :

Minimum

(\frac{11 - 37}{3}, \frac{- 110 - 74 37}{27}),

Maximum

(\frac{11 + 37}{3}, \frac{74 37 - 110}{27})

Popular Examples

y = - 5 x^{2} + 3 x - 17

y = \frac{x ^{2}}{x - 6}

f(x)=-5^{2-x}+2

f (x) = - 5^{2 - x} + 2

periodicity of f(x)=csc(4x)-csc(8x)-cot(8x)periodicity

f (x) = csc (4 x) - csc (8 x) - cot (8 x)

f (x) = 7 x - 40

Frequently Asked Questions (FAQ)

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