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Popular >

f(x)=x^4-12x^3

Solution

f (x) = x^{4} - 12 x^{3}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 2187

X Intercepts : (0, 0), (12, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Saddle (0, 0), Minimum (9, - 2187)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 2187, \infty)

Solution steps

Domain of

x^{4} - 12 x^{3} : - \infty < x < \infty

Range of

x^{4} - 12 x^{3} : f (x) \geq - 2187

Axis interception points of

x^{4} - 12 x^{3} :

X Intercepts

: (0, 0), (12, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x^{4} - 12 x^{3} :

None

Extreme Points of

x^{4} - 12 x^{3} :

Saddle

(0, 0),

Minimum

(9, - 2187)

Popular Examples

y = 2 x^{2} - 4 x + 8

derivative of 2sin(x+sin(2x))

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f (x) = 3^{x - 2} - 4

f(x)=1+80x^3+5x^4-2x^5

f (x) = 1 + 80 x^{3} + 5 x^{4} - 2 x^{5}

f(x)=(sqrt(x-3))/(x^2-2)

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

Frequently Asked Questions (FAQ)

What is the f(x)=x^4-12x^3 ?
The f(x)=x^4-12x^3 is