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Popular >

f(x)=x^3-12x^2+35x

Solution

f (x) = x^{3} - 12 x^{2} + 35 x

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (0, 0), (5, 0), (7, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (\frac{12 - 39}{3}, - 4 (61 - 839) + \frac{2304 - 262 39}{9}), Minimum (\frac{12 + 39}{3}, - 4 (61 + 839) + \frac{2304 + 262 39}{9})

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Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

x^{3} - 12 x^{2} + 35 x : - \infty < x < \infty

Range of

x^{3} - 12 x^{2} + 35 x : - \infty < f (x) < \infty

Axis interception points of

x^{3} - 12 x^{2} + 35 x :

X Intercepts

: (0, 0), (5, 0), (7, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x^{3} - 12 x^{2} + 35 x :

None

Extreme Points of

x^{3} - 12 x^{2} + 35 x :

Maximum

(\frac{12 - 39}{3}, - 4 (61 - 839) + \frac{2304 - 262 39}{9}),

Minimum

(\frac{12 + 39}{3}, - 4 (61 + 839) + \frac{2304 + 262 39}{9})

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Frequently Asked Questions (FAQ)

What is the f(x)=x^3-12x^2+35x ?
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