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Popular >

f(x)=(x-1)^3+3(x-1)^2-9x+4

Solution

f (x) = (x - 1)^{3} + 3 (x - 1)^{2} - 9 x + 4

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (0.51112 \dots, 0), (3.18014 \dots, 0), (- 3.69126 \dots, 0), Y Intercepts : (0, 6)

Asymptotes : None

Extreme Points : Maximum (- 2, 22), Minimum (2, - 10)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

(x - 1)^{3} + 3 (x - 1)^{2} - 9 x + 4 : - \infty < x < \infty

Range of

(x - 1)^{3} + 3 (x - 1)^{2} - 9 x + 4 : - \infty < f (x) < \infty

Axis interception points of

(x - 1)^{3} + 3 (x - 1)^{2} - 9 x + 4 :

X Intercepts

: (0.51112 \dots, 0), (3.18014 \dots, 0), (- 3.69126 \dots, 0),

Y Intercepts

: (0, 6)

Asymptotes of

(x - 1)^{3} + 3 (x - 1)^{2} - 9 x + 4 :

None

Extreme Points of

(x - 1)^{3} + 3 (x - 1)^{2} - 9 x + 4 :

Maximum

(- 2, 22),

Minimum

(2, - 10)

Popular Examples

f(x)=-x^2-8x-21

f (x) = - x^{2} - 8 x - 21

f(x)=-x^2-8x-15

f (x) = - x^{2} - 8 x - 15

h (x) = 3 x + 1

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

f(x)=x^{6/5}-12x^{1/5}

f (x) = x^{\frac{6}{5}} - 12 x^{\frac{1}{5}}

Frequently Asked Questions (FAQ)

What is the f(x)=(x-1)^3+3(x-1)^2-9x+4 ?
The f(x)=(x-1)^3+3(x-1)^2-9x+4 is