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Popular >

y=3x(x-2)^2

Solution

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

Solution

Domain : - \infty < x < \infty

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

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

Asymptotes : None

Extreme Points : Maximum (\frac{2}{3}, \frac{32}{9}), Minimum (2, 0)

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Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (0, 0), (2, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

None

Extreme Points of

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

Maximum

(\frac{2}{3}, \frac{32}{9}),

Minimum

(2, 0)

Popular Examples

y = sec (x - \frac{π}{4})

y = x^{6} + x^{4} - x^{2}

f(x)=2(x-5)^2-3

f (x) = 2 (x - 5)^{2} - 3

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

f (x) = \frac{x ^{3} - x ^{2} - 2 x}{x ^{2} - x}

f(x)=(sqrt(x^4-5x^2+4))/(sqrt(x^2-5x+4))

f (x) = \frac{x ^{4} - 5 x ^{2} + 4}{x ^{2} - 5 x + 4}

Frequently Asked Questions (FAQ)

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