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Popular >

f(t)=(t^4-4t^2+9)+(-t^3+3t)

Solution

f (t) = (t^{4} - 4 t^{2} + 9) + (- t^{3} + 3 t)

Solution

Domain : - \infty < t < \infty

Range : f (t) \geq 3.38780 \dots

Y Intercepts : (0, 9)

Asymptotes : None

Extreme Points : Minimum (- 1.27669 \dots, 3.38780 \dots), Maximum (0.35046 \dots, 9.53213 \dots), Minimum (1.67622 \dots, 5.97459 \dots)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [3.38780 \dots, \infty)

Solution steps

Domain of

t^{4} - 4 t^{2} + 9 - t^{3} + 3 t : - \infty < t < \infty

Range of

t^{4} - 4 t^{2} + 9 - t^{3} + 3 t : f (t) \geq 3.38780 \dots

Axis interception points of

t^{4} - 4 t^{2} + 9 - t^{3} + 3 t :

Y Intercepts

: (0, 9)

Asymptotes of

t^{4} - 4 t^{2} + 9 - t^{3} + 3 t :

None

Extreme Points of

t^{4} - 4 t^{2} + 9 - t^{3} + 3 t :

Minimum

(- 1.27669 \dots, 3.38780 \dots),

Maximum

(0.35046 \dots, 9.53213 \dots),

Minimum

(1.67622 \dots, 5.97459 \dots)

Popular Examples

f(x)=log_{x}(x-1/2)

f (x) = lo g_{x} (x - \frac{1}{2})

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

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

f(x)=-3x^2-4x+3

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

y = \frac{3}{4} x - 7

y=x^3+4x^2-11x-30

y = x^{3} + 4 x^{2} - 11 x - 30

Frequently Asked Questions (FAQ)

What is the f(t)=(t^4-4t^2+9)+(-t^3+3t) ?
The f(t)=(t^4-4t^2+9)+(-t^3+3t) is