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Popular >

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

Solution

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

Solution

Domain : - \infty < t < \infty

Range : f (t) \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

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

Range of

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

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(1, - 27),

Saddle

(4, 0)

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Frequently Asked Questions (FAQ)

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