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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (- 2.32471 \dots, 0), Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Maximum (- \frac{3 + 1}{3}, 23 + \frac{- 12 3 - 16}{3 3} + 5), Minimum (\frac{- 3 + 3}{3}, - 23 + \frac{16 - 12 3}{3 3} + 5)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

x^{3} + 3 x^{2} + 2 x + 1 : - \infty < x < \infty

Range of

x^{3} + 3 x^{2} + 2 x + 1 : - \infty < f (x) < \infty

Axis interception points of

x^{3} + 3 x^{2} + 2 x + 1 :

X Intercepts

: (- 2.32471 \dots, 0),

Y Intercepts

: (0, 1)

Asymptotes of

x^{3} + 3 x^{2} + 2 x + 1 :

None

Extreme Points of

x^{3} + 3 x^{2} + 2 x + 1 :

Maximum

(- \frac{3 + 1}{3}, 23 + \frac{- 12 3 - 16}{3 3} + 5),

Minimum

(\frac{- 3 + 3}{3}, - 23 + \frac{16 - 12 3}{3 3} + 5)

Popular Examples

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f (x) = \frac{x + 2}{x ^{2} - 9}

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f (x) = - sin (x) tan (x)

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h (x) = 6 x^{3} + 43 x^{2} + 6 x - 7

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f (p) = - 4 p^{2} + 172 p - 1528

Frequently Asked Questions (FAQ)

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