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Popular >

f(z)=(e^{-2z})/(z^3)

Solution

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

Solution

Domain : z < 0 or z > 0

Range : f (z) \leq - \frac{8 e ^{3}}{27} or f (z) > 0

Intercepts : None

Asymptotes : Vertical z = 0, Horizontal y = 0

Extreme Points : Maximum (- \frac{3}{2}, - \frac{8 e ^{3}}{27})

+1

Interval Notation

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

Range : (- \infty, - \frac{8 e ^{3}}{27}] \cup (0, \infty)

Solution steps

Domain of

\frac{e ^{- 2 z}}{z ^{3}} : z < 0 or z > 0

Range of

\frac{e ^{- 2 z}}{z ^{3}} : f (z) \leq - \frac{8 e ^{3}}{27} or f (z) > 0

Axis interception points of

\frac{e ^{- 2 z}}{z ^{3}} :

None

Asymptotes of

\frac{e ^{- 2 z}}{z ^{3}} :

Vertical

: z = 0,

Horizontal

: y = 0

Extreme Points of

\frac{e ^{- 2 z}}{z ^{3}} :

Maximum

(- \frac{3}{2}, - \frac{8 e ^{3}}{27})

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Frequently Asked Questions (FAQ)

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