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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 1.41671 \dots

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

Asymptotes : None

Extreme Points : Minimum (- 0.44300 \dots, - 1.41671 \dots), Maximum (1.00000 \dots, 0.00000 \dots), Minimum (1.69300 \dots, - 0.19852 \dots)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1.41671 \dots, \infty)

Solution steps

Domain of

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

Range of

\frac{1}{2} (x + 1) (x - 1)^{2} (x - 2) : f (x) \geq - 1.41671 \dots

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, - 1)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(- 0.44300 \dots, - 1.41671 \dots),

Maximum

(1.00000 \dots, 0.00000 \dots),

Minimum

(1.69300 \dots, - 0.19852 \dots)

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Frequently Asked Questions (FAQ)

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