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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 36 + \frac{- 57 2 - 72 3}{4 2} + 12

X Intercepts : (1, 0), (3, 0), (- 2, 0), Y Intercepts : (0, 12)

Asymptotes : None

Extreme Points : Minimum (- 2, 0), Maximum (\frac{2 - 6}{2}, - 36 + \frac{- 57 2 + 72 3}{4 2} + 12), Minimum (\frac{2 + 6}{2}, 36 + \frac{- 57 2 - 72 3}{4 2} + 12)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [36 + \frac{- 57 2 - 72 3}{4 2} + 12, \infty)

Solution steps

Domain of

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

Range of

(x - 1) (x - 3) (x + 2)^{2} : f (x) \geq 36 + \frac{- 57 2 - 72 3}{4 2} + 12

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, 12)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(- 2, 0),

Maximum

(\frac{2 - 6}{2}, - 36 + \frac{- 57 2 + 72 3}{4 2} + 12),

Minimum

(\frac{2 + 6}{2}, 36 + \frac{- 57 2 - 72 3}{4 2} + 12)

Popular Examples

f(x)=x^3+12x^2+47x+60

f (x) = x^{3} + 12 x^{2} + 47 x + 60

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Frequently Asked Questions (FAQ)

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