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Popular >

f(x)=x^3-6x^3+9x

Solution

f (x) = x^{3} - 6 x^{3} + 9 x

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (0, 0), (- \frac{3}{5}, 0), (\frac{3}{5}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (- \frac{3}{5}, 5 (\frac{3}{5})^{\frac{3}{2}} - 9 \frac{3}{5}), Maximum (\frac{3}{5}, - 5 (\frac{3}{5})^{\frac{3}{2}} + 9 \frac{3}{5})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

x^{3} - 6 x^{3} + 9 x : - \infty < x < \infty

Range of

x^{3} - 6 x^{3} + 9 x : - \infty < f (x) < \infty

Axis interception points of

x^{3} - 6 x^{3} + 9 x :

X Intercepts

: (0, 0), (- \frac{3}{5}, 0), (\frac{3}{5}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x^{3} - 6 x^{3} + 9 x :

None

Extreme Points of

x^{3} - 6 x^{3} + 9 x :

Minimum

(- \frac{3}{5}, 5 (\frac{3}{5})^{\frac{3}{2}} - 9 \frac{3}{5}),

Maximum

(\frac{3}{5}, - 5 (\frac{3}{5})^{\frac{3}{2}} + 9 \frac{3}{5})

Popular Examples

f (x) = \frac{4 x + 1}{4}

f(x)=(x^2-7x+7)/(16)

f (x) = \frac{x ^{2} - 7 x + 7}{16}

p(5)=x^3-3x^2-9x-5

p (5) = x^{3} - 3 x^{2} - 9 x - 5

p(x)=(x-1)(x+4)

p (x) = (x - 1) (x + 4)

y=(((2x-1)^2))/(((3x+2)^3))

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

Frequently Asked Questions (FAQ)

What is the f(x)=x^3-6x^3+9x ?
The f(x)=x^3-6x^3+9x is