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Popular >

y=x(x-1)^2(x+2)^2

Solution

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

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (0, 0), (1, 0), (- 2, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (- 2, 0), Minimum (- 1, - 4), Maximum (\frac{2}{5}, \frac{2592}{3125}), Minimum (1, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

x (x - 1)^{2} (x + 2)^{2} : - \infty < x < \infty

Range of

x (x - 1)^{2} (x + 2)^{2} : - \infty < f (x) < \infty

Axis interception points of

x (x - 1)^{2} (x + 2)^{2} :

X Intercepts

: (0, 0), (1, 0), (- 2, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x (x - 1)^{2} (x + 2)^{2} :

None

Extreme Points of

x (x - 1)^{2} (x + 2)^{2} :

Maximum

(- 2, 0),

Minimum

(- 1, - 4),

Maximum

(\frac{2}{5}, \frac{2592}{3125}),

Minimum

(1, 0)

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Frequently Asked Questions (FAQ)

What is the y=x(x-1)^2(x+2)^2 ?
The y=x(x-1)^2(x+2)^2 is