en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

f(x)=4x^5-8x^4+8x^2-4x

Solution

f (x) = 4 x^{5} - 8 x^{4} + 8 x^{2} - 4 x

Solution

Domain : - \infty < x < \infty

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

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

Asymptotes : None

Extreme Points : Maximum (- \frac{1 + 6}{5}, \frac{5616 + 2976 6}{3125}), Minimum (\frac{- 1 + 6}{5}, \frac{5616 - 2976 6}{3125}), Saddle (1, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

4 x^{5} - 8 x^{4} + 8 x^{2} - 4 x : - \infty < x < \infty

Range of

4 x^{5} - 8 x^{4} + 8 x^{2} - 4 x : - \infty < f (x) < \infty

Axis interception points of

4 x^{5} - 8 x^{4} + 8 x^{2} - 4 x :

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

4 x^{5} - 8 x^{4} + 8 x^{2} - 4 x :

None

Extreme Points of

4 x^{5} - 8 x^{4} + 8 x^{2} - 4 x :

Maximum

(- \frac{1 + 6}{5}, \frac{5616 + 2976 6}{3125}),

Minimum

(\frac{- 1 + 6}{5}, \frac{5616 - 2976 6}{3125}),

Saddle

(1, 0)

Graph

Popular Examples

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

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

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

Frequently Asked Questions (FAQ)

What is the f(x)=4x^5-8x^4+8x^2-4x ?
The f(x)=4x^5-8x^4+8x^2-4x is