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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : 0 < f (x) \leq \frac{1}{2}

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

Asymptotes : Horizontal y = 0

Extreme Points : Maximum (0, \frac{1}{2})

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Interval Notation

Domain : (- \infty, \infty)

Range : (0, \frac{1}{2}]

Solution steps

Domain of

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

Range of

\frac{1}{e ^{x} + e ^{- x}} : 0 < f (x) \leq \frac{1}{2}

Axis interception points of

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

Y Intercepts

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

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Maximum

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

Popular Examples

f (x) = 8 - 2 x^{2}

f(-x)=-6(-x)^5+3(-x)^3+7(-x)

f (- x) = - 6 (- x)^{5} + 3 (- x)^{3} + 7 (- x)

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

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

f (n) = n^{2} + 5 n + 6

Frequently Asked Questions (FAQ)

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