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Popular >

y=(x^3-4)/((x-1)^3)

Solution

y = \frac{x ^{3} - 4}{( x - 1 ) ^{3}}

Solution

Domain : x < 1 or x > 1

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

Asymptotes : Vertical x = 1, Horizontal y = 1

Extreme Points : Minimum (- 2, \frac{4}{9}), Maximum (2, 4)

+1

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{x ^{3} - 4}{( x - 1 ) ^{3}} : x < 1 or x > 1

Range of

\frac{x ^{3} - 4}{( x - 1 ) ^{3}} : - \infty < f (x) < \infty

Axis interception points of

\frac{x ^{3} - 4}{( x - 1 ) ^{3}} :

X Intercepts

Y Intercepts

: (0, 4)

Asymptotes of

\frac{x ^{3} - 4}{( x - 1 ) ^{3}} :

Vertical

: x = 1,

Horizontal

: y = 1

Extreme Points of

\frac{x ^{3} - 4}{( x - 1 ) ^{3}} :

Minimum

(- 2, \frac{4}{9}),

Maximum

(2, 4)

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Frequently Asked Questions (FAQ)

What is the y=(x^3-4)/((x-1)^3) ?
The y=(x^3-4)/((x-1)^3) is