en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=x^3-5x^2-17x+21

Solution

f (x) = x^{3} - 5 x^{2} - 17 x + 21

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (1, 0), (- 3, 0), (7, 0), Y Intercepts : (0, 21)

Asymptotes : None

Extreme Points : Maximum (\frac{5 - 2 19}{3}, \frac{304 19 - 1015}{27} + 21), Minimum (\frac{5 + 2 19}{3}, \frac{- 1015 - 304 19}{27} + 21)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

x^{3} - 5 x^{2} - 17 x + 21 : - \infty < x < \infty

Range of

x^{3} - 5 x^{2} - 17 x + 21 : - \infty < f (x) < \infty

Axis interception points of

x^{3} - 5 x^{2} - 17 x + 21 :

X Intercepts

: (1, 0), (- 3, 0), (7, 0),

Y Intercepts

: (0, 21)

Asymptotes of

x^{3} - 5 x^{2} - 17 x + 21 :

None

Extreme Points of

x^{3} - 5 x^{2} - 17 x + 21 :

Maximum

(\frac{5 - 2 19}{3}, \frac{304 19 - 1015}{27} + 21),

Minimum

(\frac{5 + 2 19}{3}, \frac{- 1015 - 304 19}{27} + 21)

Popular Examples

f(x)=0.1x^2-1.4x+8.3

f (x) = 0.1 x^{2} - 1.4 x + 8.3

f(x)=x^3-6xln(x)+6x+1000

f (x) = x^{3} - 6 x ln (x) + 6 x + 1000

f(x)=arctan^3(x)

f (x) = arctan^{3} (x)

f(x)=(-4x^2-16x)/(3x^2)

f (x) = \frac{- 4 x ^{2} - 16 x}{3 x ^{2}}

f(x)=-3x^5+x^3-6x^2+9

f (x) = - 3 x^{5} + x^{3} - 6 x^{2} + 9

Frequently Asked Questions (FAQ)

What is the f(x)=x^3-5x^2-17x+21 ?
The f(x)=x^3-5x^2-17x+21 is