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Popular >

P(x)=x^3-x^2-4x+4

Solution

P (x) = x^{3} - x^{2} - 4 x + 4

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (1, 0), (- 2, 0), (2, 0), Y Intercepts : (0, 4)

Asymptotes : None

Extreme Points : Maximum (\frac{1 - 13}{3}, \frac{26 13 - 38}{27} + 4), Minimum (\frac{1 + 13}{3}, \frac{- 38 - 26 13}{27} + 4)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (1, 0), (- 2, 0), (2, 0),

Y Intercepts

: (0, 4)

Asymptotes of

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

None

Extreme Points of

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

Maximum

(\frac{1 - 13}{3}, \frac{26 13 - 38}{27} + 4),

Minimum

(\frac{1 + 13}{3}, \frac{- 38 - 26 13}{27} + 4)

Popular Examples

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y = cos (- 6 x)

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

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

f(x)=4sqrt(3)x^2+5x-2sqrt(3)

f (x) = 43 x^{2} + 5 x - 23

y = 3 x^{2} + 7 x + 2

Frequently Asked Questions (FAQ)

What is the P(x)=x^3-x^2-4x+4 ?
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