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Popular >

f(x)=e^xx+2e^x

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{1}{e ^{3}}

X Intercepts : (- 2, 0), Y Intercepts : (0, 2)

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- 3, - \frac{1}{e ^{3}})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{1}{e ^{3}}, \infty)

Solution steps

Domain of

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

Range of

e^{x} x + 2 e^{x} : f (x) \geq - \frac{1}{e ^{3}}

Axis interception points of

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

X Intercepts

: (- 2, 0),

Y Intercepts

: (0, 2)

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Minimum

(- 3, - \frac{1}{e ^{3}})

Popular Examples

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y = (x - 4)^{2} + 5

f(x)=sqrt(1+5x)

f (x) = 1 + 5 x

f(x)=arctan(2/x)

f (x) = arctan (\frac{2}{x})

Frequently Asked Questions (FAQ)

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