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Popular >

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

Solution

y = \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})

Popular Examples

y = ∣ x + 3 ∣ - 2

f(x)=sin(2arcsin(x/2))

f (x) = sin (2 arcsin (\frac{x}{2}))

f (x) = ln (x) e^{x}

y = 4 - 3 x

f(x)=x^2+10x+26

f (x) = x^{2} + 10 x + 26

Frequently Asked Questions (FAQ)

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