en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 3

Y Intercepts : (0, 4)

Asymptotes : None

Extreme Points : Minimum (\frac{1}{2}, 3)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [3, \infty)

Solution steps

Domain of

4 x^{4} - 4 x^{3} + 5 x^{2} - 4 x + 4 : - \infty < x < \infty

Range of

4 x^{4} - 4 x^{3} + 5 x^{2} - 4 x + 4 : f (x) \geq 3

Axis interception points of

4 x^{4} - 4 x^{3} + 5 x^{2} - 4 x + 4 :

Y Intercepts

: (0, 4)

Asymptotes of

4 x^{4} - 4 x^{3} + 5 x^{2} - 4 x + 4 :

None

Extreme Points of

4 x^{4} - 4 x^{3} + 5 x^{2} - 4 x + 4 :

Minimum

(\frac{1}{2}, 3)

Popular Examples

f(x)=sin(x)cos(x)dx

f (x) = sin (x) cos (x) d x

f(x)=(12)/((x^2-25)-3)

f (x) = \frac{12}{( x ^{2} - 25 ) - 3}

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

f(x)=(3x-ln(5x))/x

f (x) = \frac{3 x - ln ( 5 x )}{x}

f(x)=ln(x^3-2x+1)

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

Frequently Asked Questions (FAQ)

What is the f(x)=4x^4-4x^3+5x^2-4x+4 ?
The f(x)=4x^4-4x^3+5x^2-4x+4 is