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Popular >

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

Solution

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

Solution

Domain : x < - 1 or x > - 1

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

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

Asymptotes : Vertical x = - 1, Slant y = \frac{1}{2} x - 1

Extreme Points : Maximum (- 3, - \frac{27}{8}), Saddle (0, 0)

+1

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

\frac{x ^{3}}{2 ( x + 1 ) ^{2}} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{x ^{3}}{2 ( x + 1 ) ^{2}} :

Vertical

: x = - 1,

Slant

: y = \frac{1}{2} x - 1

Extreme Points of

\frac{x ^{3}}{2 ( x + 1 ) ^{2}} :

Maximum

(- 3, - \frac{27}{8}),

Saddle

(0, 0)

Graph

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Frequently Asked Questions (FAQ)

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