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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 32

X Intercepts : (- 2, 0), (1, 0), (3, 0), Y Intercepts : (0, - 18)

Asymptotes : None

Extreme Points : Minimum (- 1, - 32), Maximum (\frac{7}{4}, \frac{1125}{256}), Minimum (3, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 32, \infty)

Solution steps

Domain of

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

Range of

(x + 2) (x - 1) (x - 3)^{2} : f (x) \geq - 32

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, - 18)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(- 1, - 32),

Maximum

(\frac{7}{4}, \frac{1125}{256}),

Minimum

(3, 0)

Popular Examples

f(x)={x^2+a,x<= 2}

f (x) = {x^{2} + a, x \leq 2}

y = 4 (x + 6) (x + 4)

f(x)=0.5x^2-10x+200

f (x) = 0.5 x^{2} - 10 x + 200

y = 4^{x} + 2

y = 5 e^{- x}

Frequently Asked Questions (FAQ)

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