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Popular >

y=xe^{-x},0<= x<= 2

Solution

y = x e^{- x}, 0 \leq x \leq 2

Solution

Domain : 0 \leq x \leq 2

Range : 0 \leq f (x) \leq \frac{1}{e}

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

Asymptotes : None

Extreme Points : Minimum (0, 0), Maximum (1, \frac{1}{e}), Minimum (2, \frac{2}{e ^{2}})

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Interval Notation

Domain : [0, 2]

Range : [0, \frac{1}{e}]

Solution steps

Domain of

x e^{- x}, 0 \leq x \leq 2 : 0 \leq x \leq 2

Range of

x e^{- x}, 0 \leq x \leq 2 : 0 \leq f (x) \leq \frac{1}{e}

Axis interception points of

x e^{- x}, 0 \leq x \leq 2 :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x e^{- x}, 0 \leq x \leq 2 :

None

Extreme Points of

x e^{- x}, 0 \leq x \leq 2 :

Minimum

(0, 0),

Maximum

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

Minimum

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

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Frequently Asked Questions (FAQ)

What is the y=xe^{-x},0<= x<= 2 ?
The y=xe^{-x},0<= x<= 2 is