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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 1.41671 \dots

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

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 1.41671 \dots]

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, 1)

Asymptotes of

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

None

Extreme Points of

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

Maximum

(- 1.69300 \dots, 0.19852 \dots),

Minimum

(- 1.00000 \dots, 0.00000 \dots),

Maximum

(0.44300 \dots, 1.41671 \dots)

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Frequently Asked Questions (FAQ)

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