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Popular >

f(x)=sqrt(e^{2x)+e^{-2x}+2}

Solution

f (x) = e^{2 x} + e^{- 2 x} + 2

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 2

Y Intercepts : (0, 2)

Asymptotes : None

Extreme Points : Minimum (0, 2)

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Interval Notation

Domain : (- \infty, \infty)

Range : [2, \infty)

Solution steps

Domain of

e^{2 x} + e^{- 2 x} + 2 : - \infty < x < \infty

Range of

e^{2 x} + e^{- 2 x} + 2 : f (x) \geq 2

Axis interception points of

e^{2 x} + e^{- 2 x} + 2 :

Y Intercepts

: (0, 2)

Asymptotes of

e^{2 x} + e^{- 2 x} + 2 :

None

Extreme Points of

e^{2 x} + e^{- 2 x} + 2 :

Minimum

(0, 2)

Popular Examples

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f (x) = 2 - x - 1

F (x) = 3 x

y=2xsqrt(x^2+1)

y = 2 x x^{2} + 1

f(x)=\sqrt[4]{x}-1

Frequently Asked Questions (FAQ)

What is the f(x)=sqrt(e^{2x)+e^{-2x}+2} ?
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