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Popular Functions >

y=x^3-x^2-9x+9

Solution

y = x^{3} - x^{2} - 9 x + 9

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (1, 0), (- 3, 0), (3, 0), Y Intercepts : (0, 9)

Asymptotes : None

Extreme Points : Maximum (\frac{1 - 2 7}{3}, \frac{- 2 - 50 7}{27} + 6 + 67), Minimum (\frac{1 + 2 7}{3}, \frac{50 7 - 2}{27} + 6 - 67)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

x^{3} - x^{2} - 9 x + 9 : - \infty < x < \infty

Range of

x^{3} - x^{2} - 9 x + 9 : - \infty < f (x) < \infty

Axis interception points of

x^{3} - x^{2} - 9 x + 9 :

X Intercepts

: (1, 0), (- 3, 0), (3, 0),

Y Intercepts

: (0, 9)

Asymptotes of

x^{3} - x^{2} - 9 x + 9 :

None

Extreme Points of

x^{3} - x^{2} - 9 x + 9 :

Maximum

(\frac{1 - 2 7}{3}, \frac{- 2 - 50 7}{27} + 6 + 67),

Minimum

(\frac{1 + 2 7}{3}, \frac{50 7 - 2}{27} + 6 - 67)

Graph

Popular Examples

y=sqrt(x^2-5x+6)

f(x)=(cos(2x))/x

f(x)=2x^3-36x^2+210x-15

f(x)=(-x^3-2x^{-2}+5)(x^{-4}+5x^2-x-9)

y=x^3,0<= x<= 5

Frequently Asked Questions (FAQ)

What is the y=x^3-x^2-9x+9 ?
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