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Popular >

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

Solution

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

Solution

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

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

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

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

Extreme Points : Maximum (- 3, - \frac{3 3}{2}), Saddle (0, 0), Minimum (3, \frac{3 3}{2})

+1

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Vertical

: x = - 1, x = 1,

Slant

: y = x

Extreme Points of

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

Maximum

(- 3, - \frac{3 3}{2}),

Saddle

(0, 0),

Minimum

(3, \frac{3 3}{2})

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y=(3p-36)*x^2+2x+3

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Frequently Asked Questions (FAQ)

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