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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 3.35921 \dots

X Intercepts : (0, 0), (- 2, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (- 1.31718 \dots, - 3.35921 \dots)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 3.35921 \dots, \infty)

Solution steps

Domain of

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

Range of

x^{4} + 2 x^{3} + 2 x^{2} + 4 x : f (x) \geq - 3.35921 \dots

Axis interception points of

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

X Intercepts

: (0, 0), (- 2, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(- 1.31718 \dots, - 3.35921 \dots)

Popular Examples

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

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

f(x)=(cot^2(x))/(csc(x)-1)

f (x) = \frac{cot ^{2} ( x )}{csc ( x ) - 1}

f(x)=(1+x)^{1/3}

f (x) = (1 + x)^{\frac{1}{3}}

y = e^{c o s (x)}

f (x) = 5 x^{2} - 2 x + 3

Frequently Asked Questions (FAQ)

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