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Popular >

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

Solution

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

Solution

Domain : x < 1 or x > 1

Range : f (x) < 1 or f (x) > 1

X Intercepts : (3, 0), Y Intercepts : (0, 27)

Asymptotes : Vertical x = 1, Horizontal y = 1

Extreme Points : Maximum (- \frac{1}{3}, 2 (14 + 33)), Minimum (\frac{1}{3}, - 2 (33 - 14)), Saddle (3, 0)

+1

Interval Notation

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

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

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (3, 0),

Y Intercepts

: (0, 27)

Asymptotes of

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

Vertical

: x = 1,

Horizontal

: y = 1

Extreme Points of

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

Maximum

(- \frac{1}{3}, 2 (14 + 33)),

Minimum

(\frac{1}{3}, - 2 (33 - 14)),

Saddle

(3, 0)

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Frequently Asked Questions (FAQ)

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