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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) > 0

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

Asymptotes : Horizontal y = 0

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

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Interval Notation

Domain : (- \infty, \infty)

Range : (0, \infty)

Solution steps

Domain of

\frac{1}{2} x^{2} e^{- x} : - \infty < x < \infty

Range of

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

Axis interception points of

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

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Minimum

(0, 0),

Maximum

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

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Frequently Asked Questions (FAQ)

What is the f(x)= 1/2 x^2e^{-x} ?
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