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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 1

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

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (0, - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (1, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Minimum

(0, - 1)

Popular Examples

integral of 7e^6

\int 7 e^{6} d x

limit as t approaches 1 of 1/(t-1)

t \to 1 lim (\frac{1}{t - 1})

limit as x approaches-2 of (4/x+2)/(x+2)

x \to - 2 lim (\frac{\frac{4}{x} + 2}{x + 2})

tangent of f(x)=(4x-4)^{1/3},\at x=2 tangent of

f (x) = (4 x - 4)^{\frac{1}{3}}, at x = 2

f(x)=arctan(e^x)

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

Frequently Asked Questions (FAQ)

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