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Popular Functions >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 0

X Intercepts : (1, 0), (- 2, 0), Y Intercepts : (0, 4)

Asymptotes : None

Extreme Points : Minimum (- 2, 0), Maximum (- \frac{1}{2}, \frac{81}{16}), Minimum (1, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, 4)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(- 2, 0),

Maximum

(- \frac{1}{2}, \frac{81}{16}),

Minimum

(1, 0)

Graph

Popular Examples

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f(x)=2cosh(ln(x))

Frequently Asked Questions (FAQ)

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