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Popular Functions >

f(x)=5x^3e^{-x}

Solution

f (x) = 5 x^{3} e^{- x}

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{135}{e ^{3}}

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

Asymptotes : Horizontal y = 0

Extreme Points : Saddle (0, 0), Maximum (3, \frac{135}{e ^{3}})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{135}{e ^{3}}]

Solution steps

Domain of

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

Range of

5 x^{3} e^{- x} : f (x) \leq \frac{135}{e ^{3}}

Axis interception points of

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

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Saddle

(0, 0),

Maximum

(3, \frac{135}{e ^{3}})

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=5x^3e^{-x} ?
The f(x)=5x^3e^{-x} is