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Popular >

f(x)=x^4+8x^3+16x^2

Solution

f (x) = x^{4} + 8 x^{3} + 16 x^{2}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 0

X Intercepts : (0, 0), (- 4, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (- 4, 0), Maximum (- 2, 16), Minimum (0, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, \infty)

Solution steps

Domain of

x^{4} + 8 x^{3} + 16 x^{2} : - \infty < x < \infty

Range of

x^{4} + 8 x^{3} + 16 x^{2} : f (x) \geq 0

Axis interception points of

x^{4} + 8 x^{3} + 16 x^{2} :

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

x^{4} + 8 x^{3} + 16 x^{2} :

None

Extreme Points of

x^{4} + 8 x^{3} + 16 x^{2} :

Minimum

(- 4, 0),

Maximum

(- 2, 16),

Minimum

(0, 0)

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Frequently Asked Questions (FAQ)

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