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+x^2-5x+1

Solution

f (x) = x^{3} + x^{2} - 5 x + 1

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (0.21075 \dots, 0), (1.65544 \dots, 0), (- 2.86619 \dots, 0), Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Maximum (- \frac{5}{3}, \frac{202}{27}), Minimum (1, - 2)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

x^{3} + x^{2} - 5 x + 1 : - \infty < x < \infty

Range of

x^{3} + x^{2} - 5 x + 1 : - \infty < f (x) < \infty

Axis interception points of

x^{3} + x^{2} - 5 x + 1 :

X Intercepts

: (0.21075 \dots, 0), (1.65544 \dots, 0), (- 2.86619 \dots, 0),

Y Intercepts

: (0, 1)

Asymptotes of

x^{3} + x^{2} - 5 x + 1 :

None

Extreme Points of

x^{3} + x^{2} - 5 x + 1 :

Maximum

(- \frac{5}{3}, \frac{202}{27}),

Minimum

(1, - 2)

Graph

Popular Examples

f(x)=sec^2(x)*tan(x)

f(x)=(tan(x)+1)/(tan(x)-1)

f(x)=(x^3-x^2-6x)/((x-8)(x+9))

f(x)=(sqrt(x)-1)/(\sqrt[3]{x)-1}

Frequently Asked Questions (FAQ)

What is the f(x)=x^3+x^2-5x+1 ?
The f(x)=x^3+x^2-5x+1 is