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^3+3x^2-4x+5

Solution

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

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (- 4.22636 \dots, 0), Y Intercepts : (0, 5)

Asymptotes : None

Extreme Points : Maximum (- \frac{3 + 21}{3}, \frac{- 36 - 4 21}{9} + 15 + 221), Minimum (\frac{- 3 + 21}{3}, \frac{4 21 - 36}{9} + 15 - 221)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (- 4.22636 \dots, 0),

Y Intercepts

: (0, 5)

Asymptotes of

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

None

Extreme Points of

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

Maximum

(- \frac{3 + 21}{3}, \frac{- 36 - 4 21}{9} + 15 + 221),

Minimum

(\frac{- 3 + 21}{3}, \frac{4 21 - 36}{9} + 15 - 221)

Graph

Popular Examples

f(x)=-20(x-6)^{12}(x-2)^7

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

f(x)=sin^4(sqrt(3x+2))

Frequently Asked Questions (FAQ)

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