en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 2

Y Intercepts : (0, 2)

Asymptotes : None

Extreme Points : Minimum (0, 2)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [2, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

Y Intercepts

: (0, 2)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(0, 2)

Popular Examples

f (x) = x^{2} - 3 x - 20

f (m) = m^{2} - 16

y = x^{3} - 4 x^{2} - x + 4

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

y = 4 \cdot (\frac{1}{2})^{x}

Frequently Asked Questions (FAQ)

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