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Popular >

y=x^3e^{-x}

Solution

y = x^{3} e^{- x}

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{27}{e ^{3}}

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

Asymptotes : Horizontal y = 0

Extreme Points : Saddle (0, 0), Maximum (3, \frac{27}{e ^{3}})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{27}{e ^{3}}]

Solution steps

Domain of

x^{3} e^{- x} : - \infty < x < \infty

Range of

x^{3} e^{- x} : f (x) \leq \frac{27}{e ^{3}}

Axis interception points of

x^{3} e^{- x} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x^{3} e^{- x} :

Horizontal

: y = 0

Extreme Points of

x^{3} e^{- x} :

Saddle

(0, 0),

Maximum

(3, \frac{27}{e ^{3}})

Popular Examples

y = 11 x + 3

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f (x) = csc (6 x)

f (x) = x^{2} + 4 x - 11

y = (x - 4)^{2} + 5

Frequently Asked Questions (FAQ)

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