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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 482 - 68

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

Asymptotes : None

Extreme Points : Saddle (- 1, 0), Minimum (1 - 2, 482 - 68), Maximum (0, 0), Minimum (1 + 2, - 482 - 68)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 482 - 68, \infty)

Solution steps

Domain of

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

Range of

x^{2} (x + 1)^{3} (x - 3) : f (x) \geq - 482 - 68

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

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

None

Extreme Points of

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

Saddle

(- 1, 0),

Minimum

(1 - 2, 482 - 68),

Maximum

(0, 0),

Minimum

(1 + 2, - 482 - 68)

Popular Examples

y=sqrt(x^2-5x+6)

y = x^{2} - 5 x + 6

f(x)=(cos(2x))/x

f (x) = \frac{cos ( 2 x )}{x}

f(x)=2x^3-36x^2+210x-15

f (x) = 2 x^{3} - 36 x^{2} + 210 x - 15

g (x) = \frac{3}{x - 2}

f(x)=(-x^3-2x^{-2}+5)(x^{-4}+5x^2-x-9)

f (x) = (- x^{3} - 2 x^{- 2} + 5) (x^{- 4} + 5 x^{2} - x - 9)

Frequently Asked Questions (FAQ)

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