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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (3.52510 \dots, 0), Y Intercepts : (0, - 3)

Asymptotes : None

Extreme Points : Maximum (\frac{3 - 2 3}{3}, \frac{12 3 - 20}{3 3} + 43 - 10), Minimum (\frac{3 + 2 3}{3}, \frac{12 3 + 20}{3 3} - 10 - 43)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (3.52510 \dots, 0),

Y Intercepts

: (0, - 3)

Asymptotes of

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

None

Extreme Points of

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

Maximum

(\frac{3 - 2 3}{3}, \frac{12 3 - 20}{3 3} + 43 - 10),

Minimum

(\frac{3 + 2 3}{3}, \frac{12 3 + 20}{3 3} - 10 - 43)

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Frequently Asked Questions (FAQ)

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