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Popular >

y=2e^{-2x}+1/3 e^x

Solution

y = 2 e^{- 2 x} + \frac{1}{3} e^{x}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq \frac{6}{e ^{\frac{2 l n ( 12 )}{3}}}

Y Intercepts : (0, \frac{7}{3})

Asymptotes : None

Extreme Points : Minimum (\frac{ln ( 12 )}{3}, \frac{6}{e ^{\frac{2 l n ( 12 )}{3}}})

+1

Solution steps

Domain of

2 e^{- 2 x} + \frac{1}{3} e^{x} : - \infty < x < \infty

Range of

2 e^{- 2 x} + \frac{1}{3} e^{x} : f (x) \geq \frac{6}{e ^{\frac{2 l n ( 12 )}{3}}}

Axis interception points of

2 e^{- 2 x} + \frac{1}{3} e^{x} :

Y Intercepts

: (0, \frac{7}{3})

Asymptotes of

2 e^{- 2 x} + \frac{1}{3} e^{x} :

None

Extreme Points of

2 e^{- 2 x} + \frac{1}{3} e^{x} :

Minimum

(\frac{ln ( 12 )}{3}, \frac{6}{e ^{\frac{2 l n ( 12 )}{3}}})

Popular Examples

y = 2 x^{2} - 3 x + 3

f(x)=(x^2)/(10)

f (x) = \frac{x ^{2}}{10}

f(θ)=2sin(θ)+sqrt(2)

f (θ) = 2 sin (θ) + 2

y = \frac{3 - x}{x + 2}

g(x)=log_{3}(x-2)

g (x) = lo g_{3} (x - 2)

Frequently Asked Questions (FAQ)

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