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Popular Functions >

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

Solution

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

Solution

Domain : x < - 3 or - 3 < x < 3 or x > 3

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

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

Asymptotes : Vertical x = - 3, x = 3, Slant y = - x

Extreme Points : Minimum (- 3, \frac{9}{2}), Saddle (0, 0), Maximum (3, - \frac{9}{2})

+1

Interval Notation

Domain : (- \infty, - 3) \cup (- 3, 3) \cup (3, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Vertical

: x = - 3, x = 3,

Slant

: y = - x

Extreme Points of

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

Minimum

(- 3, \frac{9}{2}),

Saddle

(0, 0),

Maximum

(3, - \frac{9}{2})

Graph

Popular Examples

y=-0.25x^2+40x+300

f(x)=(sqrt(2x^2-8))/(3x)

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f(t)=sqrt(t^3)-(sqrt(t^9))/4+e

Frequently Asked Questions (FAQ)

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