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Popular >

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

Solution

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

Solution

Domain : x < 0 or x > 0

Range : f (x) < 0 or f (x) \geq e

Intercepts : None

Asymptotes : Vertical x = 0, Slant y = x + 1

Extreme Points : Minimum (1, e)

+1

Interval Notation

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

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

Solution steps

Domain of

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

Range of

x \cdot e^{\frac{1}{x}} : f (x) < 0 or f (x) \geq e

Axis interception points of

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

None

Asymptotes of

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

Vertical

: x = 0,

Slant

: y = x + 1

Extreme Points of

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

Minimum

(1, e)

Popular Examples

y=((x^2-4))/((x+1))

y = \frac{( x ^{2} - 4 )}{( x + 1 )}

f (x) = x^{3} + 2 x + 5

y = x^{3} - 3

f (x) = 2 x^{2} - 7 x - 4

f (x) = ∣ 2 - x ∣

Frequently Asked Questions (FAQ)

What is the f(x)=x*e^{1/x} ?
The f(x)=x*e^{1/x} is