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Popular >

f(x)=x^3+3/2 x^2-6x

Solution

f (x) = x^{3} + \frac{3}{2} x^{2} - 6 x

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (0, 0), (\frac{- 3 + 105}{4}, 0), (\frac{- 3 - 105}{4}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (- 2, 10), Minimum (1, - \frac{7}{2})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

x^{3} + \frac{3}{2} x^{2} - 6 x : - \infty < x < \infty

Range of

x^{3} + \frac{3}{2} x^{2} - 6 x : - \infty < f (x) < \infty

Axis interception points of

x^{3} + \frac{3}{2} x^{2} - 6 x :

X Intercepts

: (0, 0), (\frac{- 3 + 105}{4}, 0), (\frac{- 3 - 105}{4}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x^{3} + \frac{3}{2} x^{2} - 6 x :

None

Extreme Points of

x^{3} + \frac{3}{2} x^{2} - 6 x :

Maximum

(- 2, 10),

Minimum

(1, - \frac{7}{2})

Popular Examples

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f(x)=3sqrt(5)+2e^{-2x+3}

f (x) = 35 + 2 e^{- 2 x + 3}

f(x)=\sqrt[3]{3}x\sqrt[4]{7}

Frequently Asked Questions (FAQ)

What is the f(x)=x^3+3/2 x^2-6x ?
The f(x)=x^3+3/2 x^2-6x is