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)/4-(x^3)/3-x^2+1

Solution

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

Solution

Domain : - \infty < x < \infty

X Intercepts : (0.95786 \dots, 0), (2.63328 \dots, 0), Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Minimum (- 1, \frac{7}{12}), Maximum (0, 1), Minimum (2, - \frac{5}{3})

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

\frac{x ^{4}}{4} - \frac{x ^{3}}{3} - x^{2} + 1 : - \infty < x < \infty

Axis interception points of

\frac{x ^{4}}{4} - \frac{x ^{3}}{3} - x^{2} + 1 :

X Intercepts

: (0.95786 \dots, 0), (2.63328 \dots, 0),

Y Intercepts

: (0, 1)

Asymptotes of

\frac{x ^{4}}{4} - \frac{x ^{3}}{3} - x^{2} + 1 :

None

Extreme Points of

\frac{x ^{4}}{4} - \frac{x ^{3}}{3} - x^{2} + 1 :

Minimum

(- 1, \frac{7}{12}),

Maximum

(0, 1),

Minimum

(2, - \frac{5}{3})

Graph

Popular Examples

y=ln(sinh(t^3))

f(x)=-log_{2}(x+1)-4

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

f(x)=\sqrt[5]{x^2+2x}

domain of\&range f(x)=x^2

Frequently Asked Questions (FAQ)

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