en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{27}{256} + 5

Y Intercepts : (0, 5)

Asymptotes : None

Extreme Points : Saddle (0, 5), Minimum (\frac{3}{4}, - \frac{27}{256} + 5)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{27}{256} + 5, \infty)

Solution steps

Domain of

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

Range of

x^{4} - x^{3} + 5 : f (x) \geq - \frac{27}{256} + 5

Axis interception points of

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

Y Intercepts

: (0, 5)

Asymptotes of

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

None

Extreme Points of

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

Saddle

(0, 5),

Minimum

(\frac{3}{4}, - \frac{27}{256} + 5)

Graph

Popular Examples

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

f(x)=x^{(2/3)}+0.85*(4-x^2)^{(1/2)}*sin(a*pi*x)

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

y=sqrt(7-x),1<= x<= 7

Frequently Asked Questions (FAQ)

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