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Popular >

f(x)=x^3-10x^2+16x

Solution

f (x) = x^{3} - 10 x^{2} + 16 x

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (0, 0), (2, 0), (8, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (\frac{2 ( 5 - 13 )}{3}, \frac{208 13 - 560}{27}), Minimum (\frac{2 ( 5 + 13 )}{3}, \frac{- 560 - 208 13}{27})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

x^{3} - 10 x^{2} + 16 x : - \infty < x < \infty

Range of

x^{3} - 10 x^{2} + 16 x : - \infty < f (x) < \infty

Axis interception points of

x^{3} - 10 x^{2} + 16 x :

X Intercepts

: (0, 0), (2, 0), (8, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x^{3} - 10 x^{2} + 16 x :

None

Extreme Points of

x^{3} - 10 x^{2} + 16 x :

Maximum

(\frac{2 ( 5 - 13 )}{3}, \frac{208 13 - 560}{27}),

Minimum

(\frac{2 ( 5 + 13 )}{3}, \frac{- 560 - 208 13}{27})

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Frequently Asked Questions (FAQ)

What is the f(x)=x^3-10x^2+16x ?
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