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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{1}{2 e}

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

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- \frac{1}{2}, - \frac{1}{2 e})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{1}{2 e}, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

e^{2 x} \cdot x :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

e^{2 x} \cdot x :

Horizontal

: y = 0

Extreme Points of

e^{2 x} \cdot x :

Minimum

(- \frac{1}{2}, - \frac{1}{2 e})

Popular Examples

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f (x) = (x + 1), 5 \leq x \leq 10

f(x)=(x^2+x+2)/(x+1)

f (x) = \frac{x ^{2} + x + 2}{x + 1}

f(x)= 1/(2^x+3)

f (x) = \frac{1}{2 ^{x} + 3}

Frequently Asked Questions (FAQ)

What is the f(x)=e^{2x}*x ?
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