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Popular Functions >

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

Solution

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

Solution

Domain : x < 0 or x > 0

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

X Intercepts : (2, 0)

Asymptotes : Vertical x = 0, Horizontal y = 0

Extreme Points : Minimum (2, 0), Maximum (6, \frac{2}{27})

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Interval Notation

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

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

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (2, 0)

Asymptotes of

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

Vertical

: x = 0,

Horizontal

: y = 0

Extreme Points of

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

Minimum

(2, 0),

Maximum

(6, \frac{2}{27})

Graph

Popular Examples

f(x)=(e^x)/(ln(x))

h(t)=-16t^2+32t+128

y=(e^x+e^{-x})/(e^x-e^{-x)}

f(x)=(1+sin(x)+cos(x))/(1+sin(x)-cos(x))

Frequently Asked Questions (FAQ)

What is the f(x)=((2-x)^2)/(x^3) ?
The f(x)=((2-x)^2)/(x^3) is