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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{617543 + 24969 609}{36864}

X Intercepts : (0, 0), (2, 0), (- \frac{1}{2}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (\frac{15 - 609}{24}, \frac{24969 609 - 617543}{36864}), Maximum (0, 0), Minimum (\frac{15 + 609}{24}, - \frac{617543 + 24969 609}{36864})

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

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

Range of

(3 x^{3} - 6 x^{2}) (2 x^{3} + x^{2}) : f (x) \geq - \frac{617543 + 24969 609}{36864}

Axis interception points of

(3 x^{3} - 6 x^{2}) (2 x^{3} + x^{2}) :

X Intercepts

: (0, 0), (2, 0), (- \frac{1}{2}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

(3 x^{3} - 6 x^{2}) (2 x^{3} + x^{2}) :

None

Extreme Points of

(3 x^{3} - 6 x^{2}) (2 x^{3} + x^{2}) :

Minimum

(\frac{15 - 609}{24}, \frac{24969 609 - 617543}{36864}),

Maximum

(0, 0),

Minimum

(\frac{15 + 609}{24}, - \frac{617543 + 24969 609}{36864})

Graph

Popular Examples

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h(t)=-16t^2+64t+336

h (t) = - 16 t^{2} + 64 t + 336

Frequently Asked Questions (FAQ)

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