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Popular >

f(x)=3x^4+11x^3+11x^2+x-2

Solution

f (x) = 3 x^{4} + 11 x^{3} + 11 x^{2} + x - 2

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq \frac{2487 - 131 393}{4608} - 2

X Intercepts : (- 1, 0), (\frac{1}{3}, 0), (- 2, 0), Y Intercepts : (0, - 2)

Asymptotes : None

Extreme Points : Minimum (\frac{- 21 - 393}{24}, \frac{2487 + 131 393}{4608} - 2), Maximum (- 1, 0), Minimum (\frac{- 21 + 393}{24}, \frac{2487 - 131 393}{4608} - 2)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{2487 - 131 393}{4608} - 2, \infty)

Solution steps

Domain of

3 x^{4} + 11 x^{3} + 11 x^{2} + x - 2 : - \infty < x < \infty

Range of

3 x^{4} + 11 x^{3} + 11 x^{2} + x - 2 : f (x) \geq \frac{2487 - 131 393}{4608} - 2

Axis interception points of

3 x^{4} + 11 x^{3} + 11 x^{2} + x - 2 :

X Intercepts

: (- 1, 0), (\frac{1}{3}, 0), (- 2, 0),

Y Intercepts

: (0, - 2)

Asymptotes of

3 x^{4} + 11 x^{3} + 11 x^{2} + x - 2 :

None

Extreme Points of

3 x^{4} + 11 x^{3} + 11 x^{2} + x - 2 :

Minimum

(\frac{- 21 - 393}{24}, \frac{2487 + 131 393}{4608} - 2),

Maximum

(- 1, 0),

Minimum

(\frac{- 21 + 393}{24}, \frac{2487 - 131 393}{4608} - 2)

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Frequently Asked Questions (FAQ)

What is the f(x)=3x^4+11x^3+11x^2+x-2 ?
The f(x)=3x^4+11x^3+11x^2+x-2 is