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Popular >

f(x)=(1+x)/(1+e^x)

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{1 + W _{0} ( 1 )}{1 + e ^{W_{0} (1)}}

X Intercepts : (- 1, 0), Y Intercepts : (0, \frac{1}{2})

Asymptotes : Horizontal y = 0, Slant y = x + 1

Extreme Points : Maximum (W_{0} (1), \frac{1 + W _{0} ( 1 )}{1 + e ^{W_{0} (1)}})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{1 + W _{0} ( 1 )}{1 + e ^{W_{0} (1)}}]

Solution steps

Domain of

\frac{1 + x}{1 + e ^{x}} : - \infty < x < \infty

Range of

\frac{1 + x}{1 + e ^{x}} : f (x) \leq \frac{1 + W _{0} ( 1 )}{1 + e ^{W_{0} (1)}}

Axis interception points of

\frac{1 + x}{1 + e ^{x}} :

X Intercepts

: (- 1, 0),

Y Intercepts

: (0, \frac{1}{2})

Asymptotes of

\frac{1 + x}{1 + e ^{x}} :

Horizontal

: y = 0,

Slant

: y = x + 1

Extreme Points of

\frac{1 + x}{1 + e ^{x}} :

Maximum

(W_{0} (1), \frac{1 + W _{0} ( 1 )}{1 + e ^{W_{0} (1)}})

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Frequently Asked Questions (FAQ)

What is the f(x)=(1+x)/(1+e^x) ?
The f(x)=(1+x)/(1+e^x) is