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Popular >

f(θ)=(θ^2+1)^3(θ^3-2)^2

Solution

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

Solution

Domain : - \infty < θ < \infty

Range : f (θ) \geq 0

Asymptotes : None

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, \infty)

Solution steps

Domain of

(θ^{2} + 1)^{3} (θ^{3} - 2)^{2} : - \infty < θ < \infty

Range of

(θ^{2} + 1)^{3} (θ^{3} - 2)^{2} : f (θ) \geq 0

Axis interception points of

(θ^{2} + 1)^{3} (θ^{3} - 2)^{2} :

X Intercepts

Y Intercepts

: (0, 4)

Asymptotes of

(θ^{2} + 1)^{3} (θ^{3} - 2)^{2} :

None

Extreme Points of

(θ^{2} + 1)^{3} (θ^{3} - 2)^{2} :

Minimum

(0, 4),

Maximum

(0.83512 \dots, 9.82785 \dots),

Minimum

Popular Examples

f(x)=sin(x/2)+3cos(x/2)+x-5

f (x) = sin (\frac{x}{2}) + 3 cos (\frac{x}{2}) + x - 5

y = x^{2} + 6 x - 9

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

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

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

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

y = - x^{2} + 5 x - 6

Frequently Asked Questions (FAQ)

What is the f(θ)=(θ^2+1)^3(θ^3-2)^2 ?
The f(θ)=(θ^2+1)^3(θ^3-2)^2 is