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Popular >

f(t)=(t^4-1)^3(t^3+1)^4

Solution

f (t) = (t^{4} - 1)^{3} (t^{3} + 1)^{4}

Solution

Domain : - \infty < t < \infty

Range : f (t) \geq - 1.46338 \dots

X Intercepts : (- 1, 0), (1, 0), Y Intercepts : (0, - 1)

Asymptotes : None

Extreme Points : Saddle (- 1, 0), Saddle (0, - 1), Minimum (0.64779 \dots, - 1.46338 \dots), Saddle (1, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1.46338 \dots, \infty)

Solution steps

Domain of

(t^{4} - 1)^{3} (t^{3} + 1)^{4} : - \infty < t < \infty

Range of

(t^{4} - 1)^{3} (t^{3} + 1)^{4} : f (t) \geq - 1.46338 \dots

Axis interception points of

(t^{4} - 1)^{3} (t^{3} + 1)^{4} :

X Intercepts

: (- 1, 0), (1, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

(t^{4} - 1)^{3} (t^{3} + 1)^{4} :

None

Extreme Points of

(t^{4} - 1)^{3} (t^{3} + 1)^{4} :

Saddle

(- 1, 0),

Saddle

(0, - 1),

Minimum

(0.64779 \dots, - 1.46338 \dots),

Saddle

(1, 0)

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g (x) = ln (4 - x)

f(x)=-sqrt(-x)+3

f (x) = - - x + 3

Frequently Asked Questions (FAQ)

What is the f(t)=(t^4-1)^3(t^3+1)^4 ?
The f(t)=(t^4-1)^3(t^3+1)^4 is