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Popular >

f(x)=x^3e^{-4x}

Solution

f (x) = x^{3} e^{- 4 x}

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{27}{64 e ^{3}}

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

Asymptotes : Horizontal y = 0

Extreme Points : Saddle (0, 0), Maximum (\frac{3}{4}, \frac{27}{64 e ^{3}})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{27}{64 e ^{3}}]

Solution steps

Domain of

x^{3} e^{- 4 x} : - \infty < x < \infty

Range of

x^{3} e^{- 4 x} : f (x) \leq \frac{27}{64 e ^{3}}

Axis interception points of

x^{3} e^{- 4 x} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x^{3} e^{- 4 x} :

Horizontal

: y = 0

Extreme Points of

x^{3} e^{- 4 x} :

Saddle

(0, 0),

Maximum

(\frac{3}{4}, \frac{27}{64 e ^{3}})

Popular Examples

f (x) = 3 x^{2} - 6 x - 3

y=2x-(x^2)/(20)

y = 2 x - \frac{x ^{2}}{20}

y = a x^{2} + 4 x - 1

y = - \frac{1}{x ^{2}} + 2

P(x)=2x^3+7x^2+7x+2

P (x) = 2 x^{3} + 7 x^{2} + 7 x + 2

Frequently Asked Questions (FAQ)

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