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Popular >

P(x)=x(x-1)^2(x+2)^3(x+3)

Solution

P (x) = x (x - 1)^{2} (x + 2)^{3} (x + 3)

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (0, 0), (1, 0), (- 2, 0), (- 3, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (- 2.78714 \dots, 4.14984 \dots), Saddle (- 2, 0), Minimum (- 0.67110 \dots, - 10.24282 \dots), Maximum (0.45825 \dots, 6.90931 \dots), Minimum (1, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

x (x - 1)^{2} (x + 2)^{3} (x + 3) : - \infty < x < \infty

Range of

x (x - 1)^{2} (x + 2)^{3} (x + 3) : - \infty < f (x) < \infty

Axis interception points of

x (x - 1)^{2} (x + 2)^{3} (x + 3) :

X Intercepts

: (0, 0), (1, 0), (- 2, 0), (- 3, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x (x - 1)^{2} (x + 2)^{3} (x + 3) :

None

Extreme Points of

x (x - 1)^{2} (x + 2)^{3} (x + 3) :

Maximum

(- 2.78714 \dots, 4.14984 \dots),

Saddle

(- 2, 0),

Minimum

(- 0.67110 \dots, - 10.24282 \dots),

Maximum

(0.45825 \dots, 6.90931 \dots),

Minimum

(1, 0)

Popular Examples

y=x^3+4x^2-3x+1

y = x^{3} + 4 x^{2} - 3 x + 1

h(t)=-16t^2+32t+9

h (t) = - 16 t^{2} + 32 t + 9

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

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

f (j) = 2 + 2 j

Frequently Asked Questions (FAQ)

What is the P(x)=x(x-1)^2(x+2)^3(x+3) ?
The P(x)=x(x-1)^2(x+2)^3(x+3) is