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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 0.81137 \dots

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

Asymptotes : None

Extreme Points : Maximum (- 1.59307 \dots, 0.81137 \dots), Minimum (- 0.15692 \dots, - 1.03989 \dots), Maximum (1.00000 \dots, 0.00000 \dots)

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

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

Range of

- \frac{1}{2} (x + 2) (x + 1) (x - 1)^{2} : f (x) \leq 0.81137 \dots

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, - 1)

Asymptotes of

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

None

Extreme Points of

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

Maximum

(- 1.59307 \dots, 0.81137 \dots),

Minimum

(- 0.15692 \dots, - 1.03989 \dots),

Maximum

(1.00000 \dots, 0.00000 \dots)

Graph

Popular Examples

f(x)=-1/4 x^3-13x^2+3x-9

f (x) = - \frac{1}{4} x^{3} - 13 x^{2} + 3 x - 9

f(x)=log_{10}(2)(x+3)

f (x) = lo g_{10} (2) (x + 3)

f(x)=3x^6+30x^5+75x^4

f (x) = 3 x^{6} + 30 x^{5} + 75 x^{4}

f (x) = 3 x^{2} - 2 x - 9

f(x)=x^4+11x^3+34x^2+15x-2

f (x) = x^{4} + 11 x^{3} + 34 x^{2} + 15 x - 2

Frequently Asked Questions (FAQ)

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