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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 0

X Intercepts : (- 2, 0), (3, 0), Y Intercepts : (0, 36)

Asymptotes : None

Extreme Points : Minimum (- 2, 0), Maximum (\frac{1}{2}, \frac{625}{16}), Minimum (3, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, 36)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(- 2, 0),

Maximum

(\frac{1}{2}, \frac{625}{16}),

Minimum

(3, 0)

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Frequently Asked Questions (FAQ)

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