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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : - \infty < f (x) < \infty

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

Asymptotes : None

Extreme Points : Minimum (- 2, 0), Maximum (\frac{3 - 129}{10}, - \frac{6 ( 6459 - 1333 129 )}{3125}), Minimum (\frac{3 + 129}{10}, - \frac{6 ( 6459 + 1333 129 )}{3125}), Maximum (3, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(- 2, 0),

Maximum

(\frac{3 - 129}{10}, - \frac{6 ( 6459 - 1333 129 )}{3125}),

Minimum

(\frac{3 + 129}{10}, - \frac{6 ( 6459 + 1333 129 )}{3125}),

Maximum

(3, 0)

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Frequently Asked Questions (FAQ)

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