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Popular >

y=x^4+x^3+4x^2+4x

Solution

y = x^{4} + x^{3} + 4 x^{2} + 4 x

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 1.06637 \dots

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

Asymptotes : None

Extreme Points : Minimum (- 0.53087 \dots, - 1.06637 \dots)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1.06637 \dots, \infty)

Solution steps

Domain of

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

Range of

x^{4} + x^{3} + 4 x^{2} + 4 x : f (x) \geq - 1.06637 \dots

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(- 0.53087 \dots, - 1.06637 \dots)

Popular Examples

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

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y = 3 sin (2 x + \frac{π}{2})

f (x) = x^{2} + 7 x - 18

simplify e^{-x}simplify

e^{- x}

f(x)= 1/3 x^3-2x^2-12x

f (x) = \frac{1}{3} x^{3} - 2 x^{2} - 12 x

Frequently Asked Questions (FAQ)

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