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Popular >

y=x*e^{-x}

Solution

y = x \cdot 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 \cdot e^{- x} : - \infty < x < \infty

Range of

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

Axis interception points of

x \cdot e^{- x} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x \cdot e^{- x} :

Horizontal

: y = 0

Extreme Points of

x \cdot e^{- x} :

Maximum

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

Popular Examples

f (x) = \frac{x - 9}{3}

f(x)=log_{10}(x)*log_{10}(2)

f (x) = lo g_{10} (x) \cdot lo g_{10} (2)

y = 1 + 4 x

f (x) = sinh (4 x)

y = arcsin (x - 3)

Frequently Asked Questions (FAQ)

What is the y=x*e^{-x} ?
The y=x*e^{-x} is