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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

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

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

Asymptotes : None

Extreme Points : Saddle (- 1, 0), Maximum (\frac{1}{5}, \frac{3456}{3125}), Minimum (1, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, 1)

Asymptotes of

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

None

Extreme Points of

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

Saddle

(- 1, 0),

Maximum

(\frac{1}{5}, \frac{3456}{3125}),

Minimum

(1, 0)

Popular Examples

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f (x) = - 2 x^{2} - x + 6

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

Frequently Asked Questions (FAQ)

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