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Popular >

f(x)=(2x+2)e^{-2x}+8

Solution

f (x) = (2 x + 2) e^{- 2 x} + 8

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq e + 8

X Intercepts : (- \frac{W _{0} ( \frac{8}{e ^{2}} ) + 2}{2}, 0), Y Intercepts : (0, 10)

Asymptotes : Horizontal y = 8

Extreme Points : Maximum (- \frac{1}{2}, e + 8)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, e + 8]

Solution steps

Domain of

(2 x + 2) e^{- 2 x} + 8 : - \infty < x < \infty

Range of

(2 x + 2) e^{- 2 x} + 8 : f (x) \leq e + 8

Axis interception points of

(2 x + 2) e^{- 2 x} + 8 :

X Intercepts

: (- \frac{W _{0} ( \frac{8}{e ^{2}} ) + 2}{2}, 0),

Y Intercepts

: (0, 10)

Asymptotes of

(2 x + 2) e^{- 2 x} + 8 :

Horizontal

: y = 8

Extreme Points of

(2 x + 2) e^{- 2 x} + 8 :

Maximum

(- \frac{1}{2}, e + 8)

Popular Examples

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f (x) = 8 x^{2} + 16 x - 1

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f (x) = - 0.4 \cdot x^{2} + 10.4 \cdot x + 21.6

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f (x) = \frac{x}{x ^{2} - x + 9}

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f (x) = sin (3 x) sin (7 x)

Frequently Asked Questions (FAQ)

What is the f(x)=(2x+2)e^{-2x}+8 ?
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