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Popular Functions >

f(x)=e^x-xe^x

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 1

X Intercepts : (1, 0), Y Intercepts : (0, 1)

Asymptotes : Horizontal y = 0

Extreme Points : Maximum (0, 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 1]

Solution steps

Domain of

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

Range of

e^{x} - x e^{x} : f (x) \leq 1

Axis interception points of

e^{x} - x e^{x} :

X Intercepts

: (1, 0),

Y Intercepts

: (0, 1)

Asymptotes of

e^{x} - x e^{x} :

Horizontal

: y = 0

Extreme Points of

e^{x} - x e^{x} :

Maximum

(0, 1)

Graph

Popular Examples

domain of f(x)= 1/(x^2+2)+x^3cos(x)

periodicity of f(x)=cos((4x)/3)

y=2+sqrt(x^2-4x)

domain of f(x)=3log_{2}(-x)-9

Frequently Asked Questions (FAQ)

What is the f(x)=e^x-xe^x ?
The f(x)=e^x-xe^x is