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Popular >

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

Solution

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

Solution

Domain : x < 0 or x > 0

Range : f (x) > 0

Intercepts : None

Asymptotes : Vertical x = 0

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

+1

Interval Notation

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

Range : (0, \infty)

Solution steps

Domain of

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

Range of

x^{2} e^{\frac{1}{x}} : f (x) > 0

Axis interception points of

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

None

Asymptotes of

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

Vertical

: x = 0

Extreme Points of

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

Minimum

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

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Frequently Asked Questions (FAQ)

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