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Popular >

y= x/9*e^{(-x)/3}

Solution

y = \frac{x}{9} \cdot e^{\frac{- x}{3}}

Solution

Domain : - \infty < x < \infty

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

Asymptotes : Horizontal y = 0

Monotone Intervals : Increasing : - \infty < x < 3, Decreasing : 3 < x < \infty

Inflection Points : (6, \frac{2}{3 e ^{2}})

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

\frac{x}{9} \cdot e^{\frac{- x}{3}} : - \infty < x < \infty

Axis interception points of

\frac{x}{9} \cdot e^{\frac{- x}{3}} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{x}{9} \cdot e^{\frac{- x}{3}} :

Horizontal

: y = 0

Monotone Intervals of

\frac{x}{9} \cdot e^{\frac{- x}{3}} :

Increasing

: - \infty < x < 3,

Decreasing

: 3 < x < \infty

Inflection Points of

\frac{x}{9} \cdot e^{\frac{- x}{3}} : (6, \frac{2}{3 e ^{2}})

Popular Examples

h(t)= 1/3 sec^3(2t)-sec(2t)

h (t) = \frac{1}{3} sec^{3} (2 t) - sec (2 t)

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

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

f(x)=(x-9)/(x^2+18x+81)

f (x) = \frac{x - 9}{x ^{2} + 18 x + 81}

f(x)= 4/(3x-12)

f (x) = \frac{4}{3 x - 12}

f (x) = 4 x^{2} + 5 x - 6

Frequently Asked Questions (FAQ)

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