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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 1

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

Asymptotes : None

Extreme Points : Minimum (\frac{1 - 5}{2}, - 1), Maximum (\frac{1}{2}, \frac{9}{16}), Minimum (\frac{1 + 5}{2}, - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, \infty)

Solution steps

Domain of

x (x + 1) (x - 1) (x - 2) : - \infty < x < \infty

Range of

x (x + 1) (x - 1) (x - 2) : f (x) \geq - 1

Axis interception points of

x (x + 1) (x - 1) (x - 2) :

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

x (x + 1) (x - 1) (x - 2) :

None

Extreme Points of

x (x + 1) (x - 1) (x - 2) :

Minimum

(\frac{1 - 5}{2}, - 1),

Maximum

(\frac{1}{2}, \frac{9}{16}),

Minimum

(\frac{1 + 5}{2}, - 1)

Popular Examples

f (x) = x^{2} - x + 20

y = 3 (x - 4)^{2} - 10

f(x)=2x^2-12x+19

f (x) = 2 x^{2} - 12 x + 19

f(x)=2x^2-12x+23

f (x) = 2 x^{2} - 12 x + 23

y = 11 x

Frequently Asked Questions (FAQ)

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