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Popular >

y=xe^{(-x)}

Solution

y = x e^{(- x)}

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{1}{e}

X Intercepts : (0, 0), Y Intercepts : (0, 0)

Asymptotes : Horizontal y = 0

Extreme Points : Maximum (1, \frac{1}{e})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{1}{e}]

Solution steps

Domain of

x e^{- x} : - \infty < x < \infty

Range of

x e^{- x} : f (x) \leq \frac{1}{e}

Axis interception points of

x e^{- x} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x e^{- x} :

Horizontal

: y = 0

Extreme Points of

x e^{- x} :

Maximum

(1, \frac{1}{e})

Popular Examples

P(t)=-6t^2+120t+600

P (t) = - 6 t^{2} + 120 t + 600

y=5log_{3}(-x)-5

y = 5 lo g_{3} (- x) - 5

f(x)=(x^3-3x^2+3x-1)/(x^2+x-2)

f (x) = \frac{x ^{3} - 3 x ^{2} + 3 x - 1}{x ^{2} + x - 2}

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

f(x)=x^{3/4}-4x^{1/4}

f (x) = x^{\frac{3}{4}} - 4 x^{\frac{1}{4}}

Frequently Asked Questions (FAQ)

What is the y=xe^{(-x)} ?
The y=xe^{(-x)} is