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Popular Calculus >

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

Solution

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

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (1.32471 \dots, 0), Y Intercepts : (0, - 1)

Asymptotes : None

Extreme Points : Maximum (- \frac{1}{3}, \frac{2}{3 3} - 1), Minimum (\frac{1}{3}, - \frac{2}{3 3} - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

x^{3} - x - 1 :

X Intercepts

: (1.32471 \dots, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

x^{3} - x - 1 :

None

Extreme Points of

x^{3} - x - 1 :

Maximum

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

Minimum

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

Graph

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Frequently Asked Questions (FAQ)

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