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Popular >

y=(x^2-x)^3

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{1}{64}

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

Asymptotes : None

Extreme Points : Saddle (0, 0), Minimum (\frac{1}{2}, - \frac{1}{64}), Saddle (1, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{1}{64}, \infty)

Solution steps

Domain of

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

Range of

(x^{2} - x)^{3} : f (x) \geq - \frac{1}{64}

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

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

None

Extreme Points of

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

Saddle

(0, 0),

Minimum

(\frac{1}{2}, - \frac{1}{64}),

Saddle

(1, 0)

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Frequently Asked Questions (FAQ)

What is the y=(x^2-x)^3 ?
The y=(x^2-x)^3 is