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Popular >

f(x)=xe^x

Solution

f (x) = x e^{x}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{1}{e}

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

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- 1, - \frac{1}{e})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{1}{e}, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

x e^{x} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x e^{x} :

Horizontal

: y = 0

Extreme Points of

x e^{x} :

Minimum

(- 1, - \frac{1}{e})

Popular Examples

domain of f(x)=sqrt(x+6)domain

f (x) = x + 6

asymptotes of (x^4+11)/(x^2+10x+26)asymptotes

\frac{x ^{4} + 11}{x ^{2} + 10 x + 26}

domain of 1/x-1 domain

\frac{1}{x} - 1

inverse of e^{6x-1}inverse

e^{6 x - 1}

asymptotes of f(x)= 1/(x(x-3))asymptotes

f (x) = \frac{1}{x ( x - 3 )}

Frequently Asked Questions (FAQ)

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