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Popular >

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

Solution

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

Solution

Domain : x < 1 or x > 1

Range : f (x) < 0 or f (x) > 0

X Intercepts : (- 1, 0), Y Intercepts : (0, - 1)

Asymptotes : Vertical x = 1, Horizontal y = 0

+1

Interval Notation

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

Range : (- \infty, 0) \cup (0, \infty)

Solution steps

Domain of

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

Range of

\frac{( x ^{3} + 1 ) ^{2}}{( x ^{3} - 1 ) ^{3}} : f (x) < 0 or f (x) > 0

Axis interception points of

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

X Intercepts

: (- 1, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

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

Vertical

: x = 1,

Horizontal

: y = 0

Extreme Points of

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

Minimum

Maximum

(- 1, 0),

Saddle

(0, - 1)

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Frequently Asked Questions (FAQ)

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