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Popular Functions >

f(x)=(x^2+x-6)/(x^3-1)

Solution

f (x) = \frac{x ^{2} + x - 6}{x ^{3} - 1}

Solution

Domain : x < 1 or x > 1

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

X Intercepts : (2, 0), (- 3, 0), Y Intercepts : (0, 6)

Asymptotes : Vertical x = 1, Horizontal y = 0

Extreme Points : Minimum (- 5.39729 \dots, - 0.11207 \dots), Maximum (- 0.18527 \dots, 6.11207 \dots), Minimum (0.30511 \dots, 5.76555 \dots), Maximum (3.27746 \dots, 0.23444 \dots)

+1

Interval Notation

Domain : (- \infty, 1) \cup (1, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{x ^{2} + x - 6}{x ^{3} - 1} : x < 1 or x > 1

Range of

\frac{x ^{2} + x - 6}{x ^{3} - 1} : - \infty < f (x) < \infty

Axis interception points of

\frac{x ^{2} + x - 6}{x ^{3} - 1} :

X Intercepts

: (2, 0), (- 3, 0),

Y Intercepts

: (0, 6)

Asymptotes of

\frac{x ^{2} + x - 6}{x ^{3} - 1} :

Vertical

: x = 1,

Horizontal

: y = 0

Extreme Points of

\frac{x ^{2} + x - 6}{x ^{3} - 1} :

Minimum

(- 5.39729 \dots, - 0.11207 \dots),

Maximum

(- 0.18527 \dots, 6.11207 \dots),

Minimum

(0.30511 \dots, 5.76555 \dots),

Maximum

(3.27746 \dots, 0.23444 \dots)

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=(x^2+x-6)/(x^3-1) ?
The f(x)=(x^2+x-6)/(x^3-1) is