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+1)/(x^2-5x-14)

Solution

f (x) = \frac{x ^{3} + 1}{x ^{2} - 5 x - 14}

Solution

Domain : x < - 2 or - 2 < x < 7 or x > 7

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

X Intercepts : (- 1, 0), Y Intercepts : (0, - \frac{1}{14})

Asymptotes : Vertical x = - 2, x = 7, Slant y = x + 5

Extreme Points : Maximum (- 3.11432 \dots, - 2.59132 \dots), Minimum (- 0.39031 \dots, - 0.07906 \dots), Maximum (0.31178 \dots, - 0.06663 \dots), Minimum (13.19285 \dots, 24.41603 \dots)

+1

Interval Notation

Domain : (- \infty, - 2) \cup (- 2, 7) \cup (7, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{x ^{3} + 1}{x ^{2} - 5 x - 14} : x < - 2 or - 2 < x < 7 or x > 7

Range of

\frac{x ^{3} + 1}{x ^{2} - 5 x - 14} : - \infty < f (x) < \infty

Axis interception points of

\frac{x ^{3} + 1}{x ^{2} - 5 x - 14} :

X Intercepts

: (- 1, 0),

Y Intercepts

: (0, - \frac{1}{14})

Asymptotes of

\frac{x ^{3} + 1}{x ^{2} - 5 x - 14} :

Vertical

: x = - 2, x = 7,

Slant

: y = x + 5

Extreme Points of

\frac{x ^{3} + 1}{x ^{2} - 5 x - 14} :

Maximum

(- 3.11432 \dots, - 2.59132 \dots),

Minimum

(- 0.39031 \dots, - 0.07906 \dots),

Maximum

(0.31178 \dots, - 0.06663 \dots),

Minimum

(13.19285 \dots, 24.41603 \dots)

Popular Examples

g(x)=((x+3))/((x^2-64))

g (x) = \frac{( x + 3 )}{( x ^{2} - 64 )}

y = 5 x^{2} - 4

F(x)=sqrt(5x+10)

F (x) = 5 x + 10

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

y = 3 x^{\frac{2}{3}} - x^{2}

Frequently Asked Questions (FAQ)

What is the f(x)=(x^3+1)/(x^2-5x-14) ?
The f(x)=(x^3+1)/(x^2-5x-14) is