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Popular >

f(x)=(3+4x)e^{-2x}

Solution

f (x) = (3 + 4 x) e^{- 2 x}

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 2 e^{\frac{1}{2}}

X Intercepts : (- \frac{3}{4}, 0), Y Intercepts : (0, 3)

Asymptotes : Horizontal y = 0

Extreme Points : Maximum (- \frac{1}{4}, 2 e^{\frac{1}{2}})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 2 e^{\frac{1}{2}}]

Solution steps

Domain of

(3 + 4 x) e^{- 2 x} : - \infty < x < \infty

Range of

(3 + 4 x) e^{- 2 x} : f (x) \leq 2 e^{\frac{1}{2}}

Axis interception points of

(3 + 4 x) e^{- 2 x} :

X Intercepts

: (- \frac{3}{4}, 0),

Y Intercepts

: (0, 3)

Asymptotes of

(3 + 4 x) e^{- 2 x} :

Horizontal

: y = 0

Extreme Points of

(3 + 4 x) e^{- 2 x} :

Maximum

(- \frac{1}{4}, 2 e^{\frac{1}{2}})

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Frequently Asked Questions (FAQ)

What is the f(x)=(3+4x)e^{-2x} ?
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