en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

f(x)=x*2^x

Solution

f (x) = x \cdot 2^{x}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{1}{2 ^{\frac{1}{l n ( 2 )}} ln ( 2 )}

X Intercepts : (0, 0), Y Intercepts : (0, 0)

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- \frac{1}{ln ( 2 )}, - \frac{1}{2 ^{\frac{1}{l n ( 2 )}} ln ( 2 )})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{1}{2 ^{\frac{1}{l n ( 2 )}} ln ( 2 )}, \infty)

Solution steps

Domain of

x \cdot 2^{x} : - \infty < x < \infty

Range of

x \cdot 2^{x} : f (x) \geq - \frac{1}{2 ^{\frac{1}{l n ( 2 )}} ln ( 2 )}

Axis interception points of

x \cdot 2^{x} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x \cdot 2^{x} :

Horizontal

: y = 0

Extreme Points of

x \cdot 2^{x} :

Minimum

(- \frac{1}{ln ( 2 )}, - \frac{1}{2 ^{\frac{1}{l n ( 2 )}} ln ( 2 )})

Graph

Popular Examples

f(x)=(x^2)/(4-x^2)

f(x)=(x^2-4)/(2x^2-11x+14)

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

f(x)=3sin(2x)cos(4x)

f(x)=x^4-x^3-3x^2+5x-2

Frequently Asked Questions (FAQ)

What is the f(x)=x*2^x ?
The f(x)=x*2^x is