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Popular >

f(x)=x^4-12x^3+48x^2-64x

Solution

f (x) = x^{4} - 12 x^{3} + 48 x^{2} - 64 x

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 27

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

Asymptotes : None

Extreme Points : Minimum (1, - 27), Saddle (4, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 27, \infty)

Solution steps

Domain of

x^{4} - 12 x^{3} + 48 x^{2} - 64 x : - \infty < x < \infty

Range of

x^{4} - 12 x^{3} + 48 x^{2} - 64 x : f (x) \geq - 27

Axis interception points of

x^{4} - 12 x^{3} + 48 x^{2} - 64 x :

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

x^{4} - 12 x^{3} + 48 x^{2} - 64 x :

None

Extreme Points of

x^{4} - 12 x^{3} + 48 x^{2} - 64 x :

Minimum

(1, - 27),

Saddle

(4, 0)

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

y = - 2 cos (- \frac{x}{2})

Frequently Asked Questions (FAQ)

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