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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (0, 0), (\frac{3 + 17}{2}, 0), (\frac{3 - 17}{2}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (- \frac{- 3 + 15}{3}, 2 (4 - 15) + \frac{8 15 - 36}{9}), Maximum (\frac{3 + 15}{3}, 2 (4 + 15) + \frac{- 36 - 8 15}{9})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (0, 0), (\frac{3 + 17}{2}, 0), (\frac{3 - 17}{2}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(- \frac{- 3 + 15}{3}, 2 (4 - 15) + \frac{8 15 - 36}{9}),

Maximum

(\frac{3 + 15}{3}, 2 (4 + 15) + \frac{- 36 - 8 15}{9})

Popular Examples

f (x) = x^{3} + x + 8

f (x) = \frac{x + 4}{4}

f (a) = a^{2} + 2 a + 5

f(x)=((3x+4))/(x^2+7x+12)

f (x) = \frac{( 3 x + 4 )}{x ^{2} + 7 x + 12}

f(x)=xsin(pi/x)

f (x) = x sin (\frac{π}{x})

Frequently Asked Questions (FAQ)

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