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Popular >

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

Solution

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

Solution

Domain : x < 0 or x > 0

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

X Intercepts : (2, 0)

Asymptotes : Vertical x = 0, Slant y = x - 6

Extreme Points : Maximum (- 4, - \frac{27}{2}), Saddle (2, 0)

+1

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (2, 0)

Asymptotes of

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

Vertical

: x = 0,

Slant

: y = x - 6

Extreme Points of

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

Maximum

(- 4, - \frac{27}{2}),

Saddle

(2, 0)

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Frequently Asked Questions (FAQ)

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