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Popular >

f(x)=(e^x)/(x^3)

Solution

f (x) = \frac{e ^{x}}{x ^{3}}

Solution

Domain : x < 0 or x > 0

Range : f (x) < 0 or f (x) \geq \frac{e ^{3}}{27}

Intercepts : None

Asymptotes : Vertical x = 0, Horizontal y = 0

Extreme Points : Minimum (3, \frac{e ^{3}}{27})

+1

Interval Notation

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

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

Solution steps

Domain of

\frac{e ^{x}}{x ^{3}} : x < 0 or x > 0

Range of

\frac{e ^{x}}{x ^{3}} : f (x) < 0 or f (x) \geq \frac{e ^{3}}{27}

Axis interception points of

\frac{e ^{x}}{x ^{3}} :

None

Asymptotes of

\frac{e ^{x}}{x ^{3}} :

Vertical

: x = 0,

Horizontal

: y = 0

Extreme Points of

\frac{e ^{x}}{x ^{3}} :

Minimum

(3, \frac{e ^{3}}{27})

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Frequently Asked Questions (FAQ)

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