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Popular >

y=(x^3-x)^3

Solution

y = (x^{3} - x)^{3}

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 : Saddle (- 1, 0), Maximum (- \frac{1}{3}, \frac{8}{81 3}), Saddle (0, 0), Minimum (\frac{1}{3}, - \frac{8}{81 3}), Saddle (1, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

(x^{3} - x)^{3} :

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

(x^{3} - x)^{3} :

None

Extreme Points of

(x^{3} - x)^{3} :

Saddle

(- 1, 0),

Maximum

(- \frac{1}{3}, \frac{8}{81 3}),

Saddle

(0, 0),

Minimum

(\frac{1}{3}, - \frac{8}{81 3}),

Saddle

(1, 0)

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f(x)=(ln(4x))^2

f (x) = (ln (4 x))^{2}

f (x) = 100 - x

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

y = - 3 x

Frequently Asked Questions (FAQ)

What is the y=(x^3-x)^3 ?
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