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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : - \infty < f (x) < \infty

X Intercepts : (- 4, 0), (- 1, 0), (1, 0), Y Intercepts : (0, - 4)

Asymptotes : None

Extreme Points : Maximum (- \frac{4 + 19}{3}, \frac{164 + 38 19}{27} - 4), Minimum (\frac{- 4 + 19}{3}, \frac{164 - 38 19}{27} - 4)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (- 4, 0), (- 1, 0), (1, 0),

Y Intercepts

: (0, - 4)

Asymptotes of

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

None

Extreme Points of

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

Maximum

(- \frac{4 + 19}{3}, \frac{164 + 38 19}{27} - 4),

Minimum

(\frac{- 4 + 19}{3}, \frac{164 - 38 19}{27} - 4)

Popular Examples

f (x) = \frac{e ^{x} - 1}{x}

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

f(x)=x^2+1/(x^2)

f (x) = x^{2} + \frac{1}{x ^{2}}

f (x) = - 3 x + 3

f (x) = x^{2} + 4 x + 9

Frequently Asked Questions (FAQ)

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