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Popular >

f(y)=(e^y+e^{-y})/2

Solution

f (y) = \frac{e ^{y} + e ^{- y}}{2}

Solution

Domain : - \infty < y < \infty

Range : f (y) \geq 1

Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Minimum (0, 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [1, \infty)

Solution steps

Domain of

\frac{e ^{y} + e ^{- y}}{2} : - \infty < y < \infty

Range of

\frac{e ^{y} + e ^{- y}}{2} : f (y) \geq 1

Axis interception points of

\frac{e ^{y} + e ^{- y}}{2} :

Y Intercepts

: (0, 1)

Asymptotes of

\frac{e ^{y} + e ^{- y}}{2} :

None

Extreme Points of

\frac{e ^{y} + e ^{- y}}{2} :

Minimum

(0, 1)

Popular Examples

integral of 1/((25+x^2)^{3/2)}

\int \frac{1}{( 25 + x ^{2} ) ^{\frac{3}{2}}} d x

integral of (u-1)/(u+1)

\int \frac{u - 1}{u + 1} d u

integral of (1/(\sqrt[3]{x)}+1)^2

y^{^{'}} = x y

limit as x approaches 5 of (xpi)/3

x \to 5 lim (\frac{x π}{3})

Frequently Asked Questions (FAQ)

What is the f(y)=(e^y+e^{-y})/2 ?
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