What is the f(x)=-(e^{1/x})/(x^2) ?

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f(x)=-(e^{1/x})/(x^2)

f (x) = - \frac{e ^{\frac{1}{x}}}{x ^{2}}

Domain : x < 0 or x > 0

Intercepts : None

Asymptotes : Vertical x = 0, Horizontal y = 0

Extreme Points : Minimum (- \frac{1}{2}, - \frac{4}{e ^{2}})

Interval Notation

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

Solution steps

Domain of

- \frac{e ^{\frac{1}{x}}}{x ^{2}} : x < 0 or x > 0

Axis interception points of

- \frac{e ^{\frac{1}{x}}}{x ^{2}} :

None

Asymptotes of

- \frac{e ^{\frac{1}{x}}}{x ^{2}} :

Vertical

: x = 0,

Horizontal

: y = 0

Extreme Points of

- \frac{e ^{\frac{1}{x}}}{x ^{2}} :

Minimum

(- \frac{1}{2}, - \frac{4}{e ^{2}})

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