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Popular >

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

Solution

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

Solution

Domain : x < - 1 or - 1 < x < 2 or x > 2

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

X Intercepts : (0, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = - 1, x = 2, Slant y = x + 1

Extreme Points : Maximum (1 - 7, \frac{2 ( 10 - 7 7 )}{9}), Saddle (0, 0), Minimum (1 + 7, \frac{2 ( 10 + 7 7 )}{9})

+1

Interval Notation

Domain : (- \infty, - 1) \cup (- 1, 2) \cup (2, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

\frac{x ^{3}}{x ^{2} - x - 2} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{x ^{3}}{x ^{2} - x - 2} :

Vertical

: x = - 1, x = 2,

Slant

: y = x + 1

Extreme Points of

\frac{x ^{3}}{x ^{2} - x - 2} :

Maximum

(1 - 7, \frac{2 ( 10 - 7 7 )}{9}),

Saddle

(0, 0),

Minimum

(1 + 7, \frac{2 ( 10 + 7 7 )}{9})

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Frequently Asked Questions (FAQ)

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