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Popular >

y=3x^3-3x

Solution

y = 3 x^{3} - 3 x

Solution

Domain : - \infty < x < \infty

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

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

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

3 x^{3} - 3 x :

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

3 x^{3} - 3 x :

None

Extreme Points of

3 x^{3} - 3 x :

Maximum

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

Minimum

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

Popular Examples

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y = arccoth (1 - x^{2})

y = \frac{x - 5}{2 x - 4}

f(x)=-3(x+4)^2+1

f (x) = - 3 (x + 4)^{2} + 1

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f(x)=x(x-4)(2x-7)

f (x) = x (x - 4) (2 x - 7)

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