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Popular >

y=3x^3-4x^2+x

Solution

y = 3 x^{3} - 4 x^{2} + x

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (0, 0), (\frac{1}{3}, 0), (1, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (\frac{4 - 7}{9}, \frac{14 7 - 20}{243}), Minimum (\frac{4 + 7}{9}, \frac{- 20 - 14 7}{243})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

3 x^{3} - 4 x^{2} + x : - \infty < x < \infty

Range of

3 x^{3} - 4 x^{2} + x : - \infty < f (x) < \infty

Axis interception points of

3 x^{3} - 4 x^{2} + x :

X Intercepts

: (0, 0), (\frac{1}{3}, 0), (1, 0),

Y Intercepts

: (0, 0)

Asymptotes of

3 x^{3} - 4 x^{2} + x :

None

Extreme Points of

3 x^{3} - 4 x^{2} + x :

Maximum

(\frac{4 - 7}{9}, \frac{14 7 - 20}{243}),

Minimum

(\frac{4 + 7}{9}, \frac{- 20 - 14 7}{243})

Popular Examples

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y = \frac{( x + x )}{( x + 1 )}

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

f (x) = x^{6} - x - 1

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

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

f(w)=(w+w^2)^{1/4}

f (w) = (w + w^{2})^{\frac{1}{4}}

Frequently Asked Questions (FAQ)

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