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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 1

Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Minimum (- 2, 1), Maximum (- 1, 2), Minimum (0, 1)

+1

Solution steps

Domain of

x^{4} + 4 x^{3} + 4 x^{2} + 1 : - \infty < x < \infty

Range of

x^{4} + 4 x^{3} + 4 x^{2} + 1 : f (x) \geq 1

Axis interception points of

x^{4} + 4 x^{3} + 4 x^{2} + 1 :

Y Intercepts

: (0, 1)

Asymptotes of

x^{4} + 4 x^{3} + 4 x^{2} + 1 :

None

Extreme Points of

x^{4} + 4 x^{3} + 4 x^{2} + 1 :

Minimum

(- 2, 1),

Maximum

(- 1, 2),

Minimum

(0, 1)

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Frequently Asked Questions (FAQ)

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