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Popular >

f(x)=x*(1+e^{-x})

Solution

f (x) = x \cdot (1 + e^{- x})

Solution

Domain : - \infty < x < \infty

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

Asymptotes : Slant y = x

Monotone Intervals : Increasing : - \infty < x < \infty

Inflection Points : (2, 2 (1 + \frac{1}{e ^{2}}))

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

x \cdot (1 + e^{- x}) : - \infty < x < \infty

Axis interception points of

x \cdot (1 + e^{- x}) :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x \cdot (1 + e^{- x}) :

Slant

: y = x

Monotone Intervals of

x \cdot (1 + e^{- x}) :

Increasing

: - \infty < x < \infty

Inflection Points of

x \cdot (1 + e^{- x}) : (2, 2 (1 + \frac{1}{e ^{2}}))

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Frequently Asked Questions (FAQ)

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