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Popular Functions >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 0

X Intercepts : (1, 0), (- 3, 0), Y Intercepts : (0, 9)

Asymptotes : None

Extreme Points : Minimum (- 3, 0), Maximum (- 1, 16), Minimum (1, 0)

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Interval Notation

Domain : (- \infty, \infty)

Range : [0, \infty)

Solution steps

Domain of

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

Range of

(x - 1)^{2} (x + 3)^{2} : f (x) \geq 0

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, 9)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(- 3, 0),

Maximum

(- 1, 16),

Minimum

(1, 0)

Graph

Popular Examples

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f(x)=(3x+1)/(3x)

f(x)=(x-5)/(sqrt(x-2))

Frequently Asked Questions (FAQ)

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